Relevant bibliographies by topics / Dualitie

Academic literature on the topic 'Dualitie'

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Published: 9 March 2023
Last updated: 10 March 2023

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Journal articles on the topic "Dualitie"

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Clark, David M., and Brian A. Davey. "The quest for strong dualities." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 58, no. 2 (April 1995): 248–80. http://dx.doi.org/10.1017/s1446788700038283.

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AbstractWe give a revised and updated exposition of the theory of full dualities initiated by Clark, Davey, Krauss and Werner, introducing the (stronger) notion of a strong duality. All known full dualities turn out to be strong. A series of theorems which provide necessary and sufficient conditions for a strong duality to exist is proved. All full dualities in the literature can be obtained from these results and many new strong dualities can be derived. In particular, we show that within congruence distributive varieties every duality can be upgraded to a strong duality. Amongst the new strong dualities are the dualities of Davey, Priestley and Werner for the varieties of pseudocomplemented distributive lattices which are either strong as they stand or can easily be made strong by the addition of partial operations to the dual structures.
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MONJARDET, BERNARD. "SOME ORDER DUALITIES IN LOGIC, GAMES AND CHOICES." International Game Theory Review 09, no. 01 (March 2007): 1–12. http://dx.doi.org/10.1142/s0219198907001242.

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We first present the concept of duality appearing in order theory, i.e. the notions of dual isomorphism and of Galois connection. Then, we describe two fundamental dualities, the duality extension/intention associated with a binary relation between two sets, and the duality between implicational systems and closure systems. Finally, we present two "concrete" dualities occuring in social choice and in choice functions theories.
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KRAUSE, AXEL. "ON THE FLATTENING OF NEGATIVE CURVATURE VIA T-DUALITY WITH A NON-CONSTANT B-FIELD." Modern Physics Letters A 18, no. 36 (November 30, 2003): 2571–79. http://dx.doi.org/10.1142/s0217732303012349.

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In an earlier paper, Alvarez, Alvarez-Gaumé, Barbón and Lozano pointed out, that the only way to "flatten" negative curvature by means of a T-duality is by introducing an appropriate, non-constant NS–NS two-form B. In this paper, we are investigating this further and ask, whether it is possible to T-dualize AdS d space to flat space with some suitably chosen B. To answer this question, we derive a relationship between the original curvature tensor and the one of the T-dualized metric involving the B-field. It turns out that there is one component which is independent of B. By inspection of this component, we show that it is not possible to dualize AdS d to flat space irrespective of the choice of B. Finally, we examine the extension of AdS to an AdS 5 × S5 geometry and propose a chain of S- and T-dualities together with an SL (2, ℤ) coordinate transformation, leading to a dual D9-brane geometry.
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Nakata, Yosuke, Yoshiro Urade, and Toshihiro Nakanishi. "Geometric Structure behind Duality and Manifestation of Self-Duality from Electrical Circuits to Metamaterials." Symmetry 11, no. 11 (October 28, 2019): 1336. http://dx.doi.org/10.3390/sym11111336.

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In electromagnetic systems, duality is manifested in various forms: circuit, Keller–Dykhne, electromagnetic, and Babinet dualities. These dualities have been developed individually in different research fields and frequency regimes, leading to a lack of unified perspective. In this paper, we establish a unified view of these dualities in electromagnetic systems. The underlying geometrical structures behind the dualities are elucidated by using concepts from algebraic topology and differential geometry. Moreover, we show that seemingly disparate phenomena, such as frequency-independent effective response, zero backscattering, and critical response, can be considered to be emergent phenomena of self-duality.
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LEE, TAEJIN. "STRING THEORY AND DUALITIES IN THE QUANTUM DISSIPATIVE HOFSTADTER SYSTEM." International Journal of Modern Physics A 24, no. 32 (December 30, 2009): 6141–56. http://dx.doi.org/10.1142/s0217751x09047582.

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We study the dualities of the quantum dissipative Hofstadter system which describes particles moving in two dimensions, subject to a uniform magnetic field, a periodic potential and a dissipative force. Using the string theory formulation, we show that the system has two kinds of dualities. The duality, previously known as the exact duality in the literature is shown to correspond to a subgroup of the T-dual symmetry group unbroken by the periodic boundary potential in string theory. The other duality is a particle–kink duality in the noncommutative open string theory which is a generalized Schmid duality in the presence of the uniform magnetic field. The kinks of the dissipative Hofstadter model are found to be noncommutative objects. The particle–kink duality, which is called previously the approximate duality, is shown to be also exact. In contrast to the previous derivation, which is based on the Coulomb gas expansion of the partition function and asserts that the duality holds only approximately in the regime of strong magnetic field, the string theory formulation proves that duality holds always exactly in the off-critical regions where the periodic potential becomes strong, regardless of the strength of the magnetic field. The dualities of the DHM may also be useful for studying the rolling tachyon in string theory in the presence of the Neveu–Schwarz (NS) B-field, since both DHM and rolling tachyon in the presence of NS B-field are described by the same action.
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Jelly, Jelly. "DUALITAS STIGMATISASI JANDA: REALITAS MASYARAKAT MINANGKABAU YANG MENDUA." Handep: Jurnal Sejarah dan Budaya 2, no. 1 (January 23, 2019): 39–58. http://dx.doi.org/10.33652/handep.v2i1.24.

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Tulisan ini bertujuan untuk mengungkap salah satu wujud dari dualisme yang merupakan fakta dalam sistem sosial masyarakat Minangkabau. Dualisme yang mulanya diistilahkan Saanin pada 1989 sebagai gambaran upaya masyarakat Minangkabau untuk menyeimbangkan agama dan adat ternyata muncul dalam sikap dualitas masyarakat ketika menghadapi berbagai situasi dan kondisi. Pada tulisan ini, peneliti mencoba melihat sikap dualitas masyarakat Minangkabau melalui stigmatisasi terhadap janda. Pandangan dan sikap yang mendua ini nampak dari stigma-stigma yang dibangun terhadap janda. Contohnya, masyarakat menganggap bahwa janda indak pandai balaki, tetapi disisi lain ia dianggap kancang ka laki-laki. Alat yang digunakan untuk menganalisis data adalah konsep dualitas. Melalui analisis dualisme terhadap stigma mengenai janda, peneliti menemukan bahwa masyarakat Minangkabau menerapkan sistem dualitas dalam kehidupannya.
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Ruis, A. R. "Pomegranate and the Mediation of Balance in Early Medicine." Gastronomica 15, no. 1 (2015): 22–33. http://dx.doi.org/10.1525/gfc.2015.15.1.22.

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Different elements of the pomegranate, both tree and fruit, had a wide range of uses in premodern therapeutics. Pomegranate also had a rich symbolic role in the art, literature, and religion of numerous cultures. In nearly every part of the globe where the pomegranate grew, it came to represent fundamental dualities: life and death, inside and out, many and one. The medicinal purposes for which healers recommended pomegranate at times reflected broader symbolic associations, and those associations are an important part of the therapeutic tradition. The dualistic symbolism that attended the pomegranate in various cultural traditions synergized with dualistic medical concepts, reinforcing the therapeutic power of pomegranate in otherwise diverse contexts. Reflecting this duality, pomegranate was both an astringent and a laxative, an emmenagogue and an antimenorrhagic, an expectorant and an antiemetic, a pyrogen and a febrifuge, a restorative and a soporific. In both literary and medical traditions, the pomegranate mediated transitions—or maintained balance—between opposing states. This essay provides an overview of the rich and sundry uses of pomegranate in premodern therapeutics, revealing how cultural associations both reflected and informed medical practices.
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SEN, ASHOKE. "ORBIFOLDS OF M-THEORY AND STRING THEORY." Modern Physics Letters A 11, no. 16 (May 30, 1996): 1339–47. http://dx.doi.org/10.1142/s021773239600134x.

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It is shown that many of the conjectured dualities involving orbifold compactification of M-theory follow from the known dualities involving M-theory and string theory in 10 dimensions, and the ansatz that orbifolding procedure commutes with the duality transformation. This ansatz also leads to a new duality conjecture, namely that M-theory compactified on T8/Z2 is dual to type I string theory on T7. In this case the “twisted sector states” in M-theory live on 16 membranes transverse to the internal manifold.
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HOOKER, JOHN, GREGER OTTOSSON, ERLENDER S. THORSTEINSSON, and HAK-JIN KIM. "A scheme for unifying optimization and constraint satisfaction methods." Knowledge Engineering Review 15, no. 1 (March 2000): 11–30. http://dx.doi.org/10.1017/s0269888900001077.

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Optimization and constraint satisfaction methods are complementary to a large extent, and there has been much recent interest in combining them. Yet no generally accepted principle or scheme for their merger has evolved. We propose a scheme based on two fundamental dualities: the duality of search and inference, and the duality of strengthening and relaxation. Optimization as well as constraint satisfaction methods can be seen as exploiting these dualities in their respective ways. Our proposal is that rather than employ either type of method exclusively, one can focus on how these dualities can be exploited in a given problem class. The resulting algorithm is likely to contain elements from both optimization and constraint satisfaction, and perhaps new methods that belong to neither.
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Winter, David J. "Dualities and the duality density theorems." manuscripta mathematica 130, no. 2 (June 11, 2009): 201–23. http://dx.doi.org/10.1007/s00229-009-0285-0.

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Dissertations / Theses on the topic "Dualitie"

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SACCHI, MATTEO. "Aspects of dualities and symmetry enhancements in three and four dimensions." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2022. http://hdl.handle.net/10281/364170.

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La dinamica a basse energie di teorie quantistiche di campo è spesso caratterizzata da diversi interessanti fenomeni non perturbativi. Di questi, nella presente tesi studieremo dualità infrarosse e enhancement di simmetrie globali in tre e quattro dimensioni. Ci concentreremo su teorie supersimmetriche, per le quali varie tecniche computazionali esatte sono disponibili. Particolarmente importante è la localizzazione supersimmetrica, la quale permette di calcolare funzioni di partizione su vari spazi compatti. Queste risultano essere invarianti sotto il flusso del gruppo di rinormalizzazione e per questo sono estremamente utili per investigare dualità ed enhancement di simmetria. Inoltre, con l'ausilio delle funzioni di partizione supersimmetriche è possibile studiare efficacemente flussi tra diverse dimensioni spaziotemporali. Equipaggiati di queste tecniche, in questa tesi investigheremo diversi punti di vista sul programma di trovare e organizzare dualità e enhancement di simmetria in 3d e 4d. Gli approcci che useremo coinvolgeranno diversi concetti che compaiono nello studio di teorie supersimmetriche. Il primo riguarda la possibilità di fluire tra diverse dimensioni attraverso compattificazioni dello spaziotempo. In questo modo è possibile trovare nuove dualità e enhancement di simmetria, sia riducendo dimensionalmente a dimensioni inferiori sia promuovendo a dimensioni superiori alcuni esempi già noti. Un'altra possibilità è quella di compattificare una teoria in un maggior numero di dimensioni, come per esempio una teoria 6d su una superficie di Riemann in modo da ottenere una teoria 4d, e di utilizzare questa costruzione geometrica per predirre e sistematizzare dualità e enhancement di simmetria. L'ultimo ingrediente che giocherà un ruolo importante nella nostra analisi è la corrispondenza gauge/CFT, la quale mette in relazione le funzioni di partizione di certe teorie supersimmetriche e le funzioni di correlazione di alcune CFT. Questo tipo di corrispondenze può essere sfruttato per trovare nuovi risultati in teorie di gauge partendo da risultati noti dal lato di CFT. In questo lavoro di tesi discuteremo diversi esempi di applicazione di queste idee. In primo luogo presenteremo una relazione tra dualità 3d N = 2 e identità per correlatori in teoria libera di CFT in 2d, e spiegheremo come essa può essere utilizzata per promuovere risultati noti in 2d a nuovi aspetti di teorie 3d. Il secondo tema affrontato sarà la compattificazione di una particolare SCFT 6d N = (1,0), nota come teoria E-string di rango N, su superfici di Riemann con flussi in modo da ottenere teorie 4d N = 1. Questa costruzione ci permetterà di predirre dualità e enhancement di simmetria partendo dalle note proprietà della teoria 6d e da considerazioni geometriche. Infine, discuteremo un nuovo tipo di dualità 4d N = 1 che rappresenta un antenato in una dimensione superiore della più nota mirror symmetry in 3d.
The low energy dynamics of quantum field theories can be characterized by several interesting non-perturbative phenomena. Among these, in this thesis we study infra-red dualities and global symmetry enhancements in three and four dimensions. We focus on supersymmetric theories, for which various exact computational tools are at our disposal. Of particular relevance is supersymmetric localization, which allows us to compute partition functions on various compact manifolds. These turn out to be invariant under the renormalization group flow and are thus powerful to probe dualities and symmetry enhancements. Moreover, one can also effectively study flows across dimensions through these supersymmetric partition functions. Equipped with these tools, in this thesis we investigate different perspectives on the program of finding and organizing dualities and symmetry enhancements in 3d and 4d. The approaches that we will employ combine several different concepts that appear in the study of supersymmetric theories. This first one is that we can flow across dimensions via spacetime compactifications. In this way we can find new dualities and symmetry enhancements, by either dimensionally reducing to lower dimensions or uplifting to higher dimensions some that are already known. Another possibility is to compactify a higher dimensional theory, like a 6d theory on a Riemann surface so to get a 4d theory, and use this geometric construction to predict and systematize dualities and symmetry enhancements. The last important ingredient that will play a role in our analysis consists of correspondences, in particular gauge/CFT correspondences relating partition functions of certein supersymmetric theories to correlation functions of some CFTs. These kind of correspondences can also be exploited to find new results on the gauge theory side from known results on the CFT side. In this thesis we discuss various examples of applications of these ideas. We first present a relation between 3d N = 2 dualities and identities for 2d CFT free field correlators, and we explain how this can be used to uplift known results about 2d free fields to new aspects of 3d theories. The second topic is the compactification of a particular 6d N = (1, 0) SCFT, known as the rank-N E-string theory, on Riemann surfaces with fluxes so to get 4d N = 1 theories. This construction allows us to predict dualities and symmetry enhancements from known properties of the 6d SCFT and geometric considerations. Finally, we discuss a new type of duality for 4d N = 1 theories that represents a higher dimensional ancestor of the well-known 3d mirror symmetry.
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Whiting, Catherine Ann. "Duality symmetries in string-inspired supergravity: T-dualities and the gauge/gravity correspondence." Diss., University of Iowa, 2015. https://ir.uiowa.edu/etd/1796.

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Motivated by the AdS/CFT correspondence, new supersymmetric solutions to Type IIB and Type IIA supergravity are presented. These solutions contain $AdS_5$ or $AdS_4$ factors and are generated using T-duality symmetries of supergravity. The technique used to generate these solutions consists of performing a series of non-Abelian and Abelian T-dualities, sometimes with coordinate shifts in-between, to Freund-Rubin type seed backgrounds. An added bonus of the gauge fixing procedure inherent in non-Abelian T-Duality is the freedom to generate backgrounds with extra free parameters, some examples of which are presented. Aspects of the dual field theories of these new solutions are analyzed using holography techniques. The supersymmetry of these new backgrounds is also discussed. In addition to supergravity backgrounds with AdS, the study of generalized Calabi-Yau manifolds in the context of flux compactifications is briefly reviewed. The particular case of the resolved cone over $Y^{p,q}$ and its admission of generalized SU(3) structure solutions is examined. Contrary to geometries with $AdS$ factors, whose field theory duals are conformal field theories, these types of geometries can be phenomenologically interesting to study, as their gauge theory duals are minimally supersymmetric and confining, thus they could someday help aid our understanding of strongly-coupled QCD (Quantum Chromodynamics).
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Cho, Hee-Won. "Le thème du flâneur chez Baudelaire et le dualisme non-dualiste du Son bouddhisme coréen." Paris 1, 2008. http://www.theses.fr/2008PA010592.

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Cette étude consiste à examiner le thème du flâneur chez Baudelaire dans la perspective du dualisme non-dualiste du Son bouddhisme coréen. Comme le faisaient les maîtres du Son, il se méfie de la rationalité. Pour être libre de celle-ci, Baudelaire prend l'ivresse comme moyen, parce que l'ivresse rend possible toutes les réversibilités, y compris du « moi» et de l'Autrui. Cette expérience de l'ivresse correspond à celle de l'éveil Son bouddhique dans la mesure où elle constitue une sorte d'expérience de la vérité. Gardant cet éveil du vrai «moi» et du vrai «monde », notre homme décide de participer au monde ordinaire avec son imagination. À la fois gardant et perdant ses distances à l'égard de la foule, telle est l'activité du flâneur. Du fait que tout est réversible dans le monde baudelairien, la participation se termine par l'orientation vers l'observation, le solidaire vers le solitaire. De plus, les deux coexistent sans aucun conflit mais de façon dynamique: ce qui correspond au dualisme non-dualiste du Son bouddhisme.
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Steenkamp, Nina. "Occupying the in between : a typology of architecture as the mediator." Diss., University of Pretoria, 2012. http://hdl.handle.net/2263/29874.

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The paradoxical nature of society leads to great dualities in the study of motion and space, creating conflicting relationships. The role of the architectural design is to facilitate these motions to become a stage for the spectacle in its immediate context. The dissertation presents an architectural proposal that addresses the notion of duality. By identifying the possibilities within a liminal context, an architectural narrative creates scenarios as a possible response. The author investigates the manifestation of multiple programmes, a leather workshop, bakery and bar within the South African urban context of Pretoria West. The architectural exploration aims to enrich public life in a liminal space on the periphery of the city. Challenges associated with the typology of duality are addressed through the integration with the immediate context to ensure its sustainability. The aim is to celebrate the edge condition and the spaces commonly overlooked.
Dissertation MArch(Prof)-University of Pretoria, 2012.
Architecture
MArch(Prof)
Unrestricted
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Chabrol, Lilian. "F-theory in Eight Dimensions : an Exceptional Field Theory and Heterotic String Perspective Geometry of ℝ+ × E3(3) exceptional field theory and F-theory F-theory and heterotic duality, Weierstrass models from Wilson lines." Thesis, université Paris-Saclay, 2020. http://www.theses.fr/2020UPASP018.

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L'une des théories les plus prometteuses qui vise à unifier la mécanique quantique et la relativité générale est actuellement la théorie des cordes. La recherche d'une formulation supersymétrique des cordes a conduit à cinq théories de supercordes cohérentes en dix dimensions qui ont ensuite été unifiées dans le cadre de la théorie M. L'aspect fondamental de cette unification est la découverte d'un réseau de dualités entre les cinq théories des supercordes et la supergravité à onze dimensions.Cette thèse aborde les dualités dans le contexte de la théorie F en huit dimensions. La théorie F est douze dimensionnelle et fournit une formulation non perturbative de la supergravité de type IIB avec 7-branes. La théorie des champs exceptionnels, quant à elle, fournit une formulation U-dual de la supergravité de type IIB. Nous nous concentrons donc sur les liens possibles entre ces deux formulations. La théorie F est également supposée être duale à la théorie des cordes hétérotique en 8 dimensions. La structure des groupes de jauge apparaît radicalement différemment dans ces deux formulations. Dans la théorie F, elle est interprétée comme un choix particulier de structure algébrique d'une surface K3 elliptique, tandis que dans le cadre de la corde hétérotique, elle est principalement déterminée par les lignes de Wilson. Bien qu'étudiée dans le contexte de la théorie des cordes de type IIB, l'identification entre les modules de la théorie F et de la théorie des cordes hétérotique n'est que peu connue.Dans la première partie de cette thèse, nous présentons les notions de base de la théorie des cordes, des compactifications, des branes et des dualités. Dans la seconde, nous montrons que la théorie des champs exceptionnels R+ X E₃(₃)en huit dimensions présente des aspects de la théorie F dans un cadre spécifique, et permet en particulier de décrire les monodromies des(p; q) 7-branes. Enfin, dans la troisième partie, nous étudions la dualité entre la compactification de la théorie F sur une surface K3 elliptique et la corde hétérotique sur un deux-tore. Nous présentons comment construire des surfaces K3 elliptiques via des polyèdres réflexifs qui peuvent être interprétés en termes de lignes de Wilson dans la théorie des cordes hétérotique duale
One of the most promising theories to unify quantum mechanics and general relativity is currently string theory. The search for a supersymmetric formulation of strings led to five consistent ten dimensional superstring theories which were later unified under the scope of M-theory. The fundamental aspect of this unification is the discovery of a web of dualities between the five superstring theories and eleven dimensional supergravity.This thesis addresses dualities in the context of F-theory in eight dimensions. F-theory is twelve dimensional and provides a non-perturbative formulation of type IIB supergravity with 7-branes. On the other hand exceptional field theory provides a U-dual formulation of type IIB supergravity and we therefore focus on the possible links between these two formulations. F-theory is also conjectured to be dual to the heterotic string in 8 dimensions. The gauge group appears radically differently in these two formulations. In F-theory it is interpreted as a particular algebraic structure of an elliptically fibered K3 surface, while on the heterotic string it is principally determined the Wilson lines. Although studied in the context of type IIB string theory, the explicit map between the moduli in F-theory and its heterotic dual are still quite unknown.In the first part of this thesis we present basic notions of string theory, compactifications, branes and dualities. In the second one, we show that R+ X E₃(₃) exceptional field theory in eight dimensions can incorporate aspects of F-theory in a specific setting, and in particular describes the monodromies of (p; q) 7-branes. Finally, in the third part we study the duality between F-theory compactified on an elliptic K3 surface and the heterotic string on a two-torus. We present how to construct elliptically fibered K3 surfaces via reflexive polytopes which can be understood in terms of Wilson lines in the dual heterotic string theory
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Hu, Hongde. "Dualities for accessible categories." Thesis, McGill University, 1992. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=39545.

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In this work we prove dualities for Diers categories, Barr categories and small Barr-exact categories. The latter duality solves a problem of M. Makkai. Further, we prove a stronger version of the strong completeness theorem on $ kappa$-Barr-exact categories. Finally we prove that an accessibly embedded subcategory of a locally presentable category satisfies the solution-set condition if it is accessible. This improves work of J. Adamek and J. Rosicky on injectivity in locally presentable categories.
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Egger, Jeffrey M. "Dualities in operational form." Thesis, McGill University, 1995. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=23393.

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In (2), Brian Davey poses the question: "Which finite algebras admit a duality?" The answer to this question has eluded mathematicians for many years and a simple characterization of those algebras which are dualizable (in a reasonable way) seems an unlikely feat. I will consider the question "Which finite (operational) algebras admit a duality which may be expressed in a purely operational form?". This is a substantially less ambitious question, for there are many algebras which are dualizable but not operationally so. However, it does have a clear answer.
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Hewson, S. F. "Dualities, branes and supersymmetry." Thesis, University of Cambridge, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.603981.

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Non-abelian target space duality and its effect on low energy string backgrounds is investigated, with particular emphasis on Taub-NUT space. The dual solutions are analysed and the physical effects of the duality are discussed, along with the interrelationship between successive applications of target space duality. A full quantum mechanical analysis of non-abelian duality is then considered. Conditions for the transformation to be anomaly free are presented, along with the quantum corrections to the standard non-abelian duality formulae. A low energy analysis is also performed. The study of D-branes creates an interest in massive sigma models. The supersymmetric abelian target space duals of such models are constructed. From the dual models the correct form of the dual potentials may be inferred. Finally the effects of the duality on the solitons of the massive model are discussed. The general problem of branes in twelve dimensions is studied. A supersymmetric action principle is formulated, but in order to do this the notions of supersymmetric must generalised. The resulting (2 + 2)- brane lives in a new type of superspace with two timelike directions. It is then shown that the traditional spacetime strings and membranes may be obtained by dimensional reduction. Once one has adapted to the possibility that there are many different supersymmetry theories, it is natural to attempt a classification. Details of such a procedure are given, and the corresponding superspaces constructed. In addition, complete brane scans are given for branes in any spacetime dimension and signature, and the algebras for which they are possible. The (2+2)-brane requires there to be two time directions. The concrete properties which any supersymmetric theory with two times must have are thus discussed. The BPS states of the two-time algebras are investigated in an analysis similar to that used in supergravity. Consistency conditions are discussed and the intersection properties of the branes detailed.
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Godazgar, Mohammad Hadi. "Dualities in string theory." Thesis, University of Cambridge, 2012. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.610466.

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Albrecht, Dylan Judd. "Applications of Holographic Dualities." W&M ScholarWorks, 2013. https://scholarworks.wm.edu/etd/1539623624.

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We introduce and review some of the building blocks to what is known as the AdS/CFT correspondence. We then present, using the framework of the correspondence, two applications: one to QCD (Chapters 2 and 3) and one to superconductivity (Chapter 4). The work presented in these chapters was carried out by the author and collaborators during the author's graduate studies.
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Books on the topic "Dualitie"

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Leonard and Bina Ellen Art Gallery., ed. Anne Kahane: Dualities = la dualite. Montréal: Leonard & Bina Ellen Art Gallery,Concordia University, 1999.

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Dualities. Pullman: Washington State University Press, 1991.

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Boţ, Radu Ioan. Duality in vector optimization. Dordrecht: Springer, 2009.

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Baulieu, Laurent. Strings, Branes and Dualities. Dordrecht: Springer Netherlands, 1999.

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Laurent, Baulieu, North Atlantic Treaty Organization. Scientific Affairs Division., and NATO Advanced Study Institute on Strings, Branes, and Dualities (1997 : Cargèse, France), eds. Strings, branes, and dualities. Dordrecht: Kluwer Academic Publishers, 1999.

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Baulieu, Laurent, Philippe Francesco, Michael Douglas, Vladimir Kazakov, Marco Picco, and Paul Windey, eds. Strings, Branes and Dualities. Dordrecht: Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4730-9.

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Gallery, QCC Art, ed. Duality. New York: QCC Art Gallery, the City University of New York, 2011.

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Centre, Banff, and Walter Phillips Gallery, eds. Duality. Calgary, Alta: Walter Phillips Gallery, 1988.

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Esfandiary, Shima. Duality. Tehran, Iran: Mah Art Gallery, 2010.

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Wade, Mason. dualité canadienne. Chicoutimi: J.-M. Tremblay, 2011. http://dx.doi.org/10.1522/030276428.

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Book chapters on the topic "Dualitie"

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Ashley, J., B. Grünbaum, G. Shephard, and W. Stromquist. "Self-duality groups and ranks of self-dualities." In DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 11–50. Providence, Rhode Island: American Mathematical Society, 1991. http://dx.doi.org/10.1090/dimacs/004/02.

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Schenzel, Peter, and Anne-Marie Simon. "Local Duality with Dualizing Complexes and Other Dualities." In Springer Monographs in Mathematics, 295–316. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-96517-8_12.

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Ellis-Monaghan, Joanna A., and Iain Moffatt. "Generalised Dualities." In SpringerBriefs in Mathematics, 23–42. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6971-1_2.

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Nel, Louis. "Enriched Dualities." In Continuity Theory, 351–68. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-31159-3_10.

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Goswami, Amit. "Integrating Dualities." In The Physicists’ View of Nature, 219–26. Boston, MA: Springer US, 2001. http://dx.doi.org/10.1007/978-1-4615-0527-3_24.

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Dewar-Watson, Sarah. "Tragic Dualities." In Tragedy, 81–95. London: Macmillan Education UK, 2014. http://dx.doi.org/10.1007/978-0-230-39259-5_6.

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Borgwardt, Karl Heinz. "Dualität." In Optimierung Operations Research Spieltheorie, 63–82. Basel: Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8252-1_5.

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Stoppel, Hannes, and Birgit Griese. "Dualität." In Übungsbuch zur Linearen Algebra, 254–79. Wiesbaden: Vieweg+Teubner Verlag, 2003. http://dx.doi.org/10.1007/978-3-322-94287-6_14.

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Stoppel, Hannes, and Birgit Griese. "Dualität." In Übungsbuch zur Linearen Algebra, 55–62. Wiesbaden: Vieweg+Teubner Verlag, 2003. http://dx.doi.org/10.1007/978-3-322-94287-6_7.

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Borgwardt, Karl Heinz. "Dualität." In Aufgabensammlung und Klausurentrainer zur Optimierung, 107–25. Wiesbaden: Vieweg+Teubner, 2010. http://dx.doi.org/10.1007/978-3-8348-9354-3_5.

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Conference papers on the topic "Dualitie"

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Mac CONAMHNA, OISÍN A. P. "M-THEORY AND DUALITIES." In Proceedings of the MG11 Meeting on General Relativity. World Scientific Publishing Company, 2008. http://dx.doi.org/10.1142/9789812834300_0538.

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Paquette, Natalie, and Niklas Garner. "Mathematics of String Dualities." In Theoretical Advanced Study Institute 2021. Trieste, Italy: Sissa Medialab, 2022. http://dx.doi.org/10.22323/1.403.0007.

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Kerkhoff, Sebastian. "Concrete Dualities and Essential Arities." In 2014 IEEE 44th International Symposium on Multiple-Valued Logic (ISMVL). IEEE, 2014. http://dx.doi.org/10.1109/ismvl.2014.17.

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AHARONY, O. "M THEORY AND STRING DUALITIES." In Proceedings of the Workshop. PUBLISHED BY IMPERIAL COLLEGE PRESS AND DISTRIBUTED BY WORLD SCIENTIFIC PUBLISHING CO., 1997. http://dx.doi.org/10.1142/9781848160927_0006.

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Carfora, Mauro. "Simplicial Aspects of String Dualities." In GENERAL RELATIVITY AND GRAVITATIONAL PHYSICS: 16th SIGRAV Conference on General Relativity and Gravitational Physics. AIP, 2005. http://dx.doi.org/10.1063/1.1891546.

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Pioline, Boris, and Niels Obers. "M- Theory and U - dualities." In Corfu Summer Institute on Elementary Particle Physics. Trieste, Italy: Sissa Medialab, 1999. http://dx.doi.org/10.22323/1.001.0053.

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Carl, Turner. "Dualities in 2+1 Dimensions." In XIV Modave Summer School in Mathematical Physics. Trieste, Italy: Sissa Medialab, 2019. http://dx.doi.org/10.22323/1.349.0001.

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Codreanu, M., A. Tolli, M. Juntti, and M. Latva-Aho. "Uplink-Downlink SINR Duality via Lagrange Duality." In 2008 IEEE Wireless Communications and Networking Conference. IEEE, 2008. http://dx.doi.org/10.1109/wcnc.2008.209.

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Li, C. Y., W. Y. Wang, C. Wang, S. Y. Song, and G. L. Long. "Duality Quantum Information and Duality Quantum Communication." In ADVANCES IN QUANTUM THEORY: Proceedings of the International Conference on Advances in Quantum Theory. AIP, 2011. http://dx.doi.org/10.1063/1.3567439.

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FRÖHLICH, JÜRG, JÜRGEN FUCHS, INGO RUNKEL, and CHRISTOPH SCHWEIGERT. "DEFECT LINES, DUALITIES AND GENERALISED ORBIFOLDS." In XVIth International Congress on Mathematical Physics. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814304634_0056.

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Reports on the topic "Dualitie"

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Craig, Nathaniel, Rouven Essig, Anson Hook, and Gonzalo Torroba. New Dualities in Supersymmetric Chiral Gauge Theories. Office of Scientific and Technical Information (OSTI), August 2011. http://dx.doi.org/10.2172/1022538.

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Brace, Daniel M. Dualities in M-theory and Born-Infeld Theory. Office of Scientific and Technical Information (OSTI), January 2001. http://dx.doi.org/10.2172/791786.

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Frenkel, Edward. Geometric Langlands Program and Dualities in Quantum Physics. Fort Belvoir, VA: Defense Technical Information Center, April 2009. http://dx.doi.org/10.21236/ada519424.

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Gaillard, M. K., and B. Zumino. Self-duality in nonlinear electromagnetism. Office of Scientific and Technical Information (OSTI), May 1997. http://dx.doi.org/10.2172/505700.

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Uohashi, Keiko. Generalized Entropies and Legendre Duality. Fort Belvoir, VA: Defense Technical Information Center, April 2012. http://dx.doi.org/10.21236/ada559903.

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Navasardyan, Tigran. Quark-Hadron Duality in Mesons Electroproduction. Office of Scientific and Technical Information (OSTI), January 2007. http://dx.doi.org/10.2172/955810.

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Callander, Brian, Elizabeth Gasparim, Rollo Jenkins, and Lino Marcos Silva. Self-Duality for Landau--Ginzburg Models. Jgsp, 2014. http://dx.doi.org/10.7546/jgsp-35-2014-1-10.

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Haugh, Martin, Leonid Kogan, and Jiang Wang. Evaluating Portfolio Policies: A Duality Approach. Cambridge, MA: National Bureau of Economic Research, July 2003. http://dx.doi.org/10.3386/w9861.

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Sadri, D. The Plane-Wave/Super Yang-Mills Duality. Office of Scientific and Technical Information (OSTI), October 2003. http://dx.doi.org/10.2172/826467.

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Klein, M. A Note on Effective Superpotentials and Kutasov Duality. Office of Scientific and Technical Information (OSTI), November 2003. http://dx.doi.org/10.2172/826516.

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