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Academic literature on the topic 'Defect Conformal Field Theories'

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Published: 10 March 2023

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Journal articles on the topic "Defect Conformal Field Theories"

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Lauria, Edoardo. "Exact results in defect conformal field theories**." Fortschritte der Physik 64, no. 4-5 (March 14, 2016): 333–35. http://dx.doi.org/10.1002/prop.201500090.

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Penati, Silvia. "Superconformal Line Defects in 3D." Universe 7, no. 9 (September 15, 2021): 348. http://dx.doi.org/10.3390/universe7090348.

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We review the recent progress in the study of line defects in three-dimensional Chern–Simons-matter superconformal field theories, notably the ABJM theory. The first part is focused on kinematical defects, supporting a topological sector of the theory. After reviewing the construction of this sector, we concentrate on the evaluation of topological correlators from the partition function of the mass-deformed ABJM theory and provide evidence on the existence of topological quantum mechanics living on the line. In the second part, we consider the dynamical defects realized as latitude BPS Wilson loops for which an exact evaluation is available in terms of a latitude Matrix Model. We discuss the fundamental relation between these operators, the defect superconformal field theory and bulk physical quantities, such as the Bremsstrahlung function. This relation assigns a privileged role to BPS Wilson operators, which become the meeting point for three exact approaches: localization, integrability and conformal bootstrap.
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SARKISSIAN, GOR. "SOME REMARKS ON D-BRANES AND DEFECTS IN LIOUVILLE AND TODA FIELD THEORIES." International Journal of Modern Physics A 27, no. 31 (December 13, 2012): 1250181. http://dx.doi.org/10.1142/s0217751x12501813.

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In this paper, we analyze the Cardy–Lewellen equation in general diagonal model. We show that in these models it takes a simple form due to some general properties of conformal field theories, like pentagon equations and OPE associativity. This implies that the Cardy–Lewellen equation has a simple form also in nonrational diagonal models. We specialize our finding to the Liouville and Toda field theories. In particular, we prove that recently conjectured defects in Toda field theory indeed satisfy the cluster equation. We also derive the Cardy–Lewellen equation in all sl(n) Toda field theories and prove that the form of boundary states found recently in sl(3) Toda field theory holds in all sl(n) theories as well.
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IACOMINO, PATRIZIA, VINCENZO MAROTTA, and ADELE NADDEO. "DISSIPATIVE QUANTUM MECHANICS AND KONDO-LIKE IMPURITIES ON NONCOMMUTATIVE TWO-TORI." International Journal of Modern Physics A 27, no. 02 (January 20, 2012): 1250007. http://dx.doi.org/10.1142/s0217751x12500078.

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In a recent paper, by exploiting the notion of Morita equivalence for field theories on noncommutative tori and choosing rational values of the noncommutativity parameter θ (in appropriate units), a general one-to-one correspondence between the m-reduced conformal field theory (CFT) describing a quantum Hall fluid (QHF) at paired states fillings1,2[Formula: see text] and an Abelian noncommutative field theory (NCFT) has been established.3 That allowed us to add new evidence to the relationship between noncommutativity and quantum Hall fluids.4 On the other hand, the m-reduced CFT is equivalent to a system of two massless scalar bosons with a magnetic boundary interaction as introduced in Ref. 5, at the so-called "magic" points. We are then able to describe, within such a framework, the dissipative quantum mechanics of a particle confined to a plane and subject to an external magnetic field normal to it. Here we develop such a point of view by focusing on the case m=2 which corresponds to a quantum Hall bilayer. The key role of a localized impurity which couples the two layers is emphasized and the effect of noncommutativity in terms of generalized magnetic translations (GMT) is fully exploited. As a result, general GMT operators are introduced, in the form of a tensor product, which act on the QHF and defect space respectively, and a comprehensive study of their rich structure is performed.
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MAVROMATOS, NICK E., and ELIZABETH WINSTANLEY. "D-PARTICLE RECOIL SPACE–TIMES AND "GLUEBALL" MASSES." International Journal of Modern Physics A 16, no. 02 (January 20, 2001): 251–65. http://dx.doi.org/10.1142/s0217751x01002336.

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We discuss the properties of matter in a D-dimensional anti-de Sitter-type space–time induced dynamically by the recoil of a very heavy D(irichlet)-particle defect embedded in it. The particular form of the recoil geometry, which from a world sheet view point follows from logarithmic conformal field theory deformations of the pertinent sigma-models, results in the presence of both infrared and ultraviolet (spatial) cutoffs. These are crucial in ensuring the presence of mass gaps in scalar matter propagating in the D-particle recoil space–time. The analogy of this problem with the Liouville-string approach to QCD, suggested earlier by John Ellis and one of the present authors, prompts us to identify the resulting scalar masses with those obtained in the supergravity approach based on the Maldacena's conjecture, but without the imposition of any supersymmetry in our case. Within reasonable numerical uncertainties, we observe that agreement is obtained between the two approaches for a particular value of the ratio of the two cutoffs of the recoil geometry. Notably, our approach does not suffer from the ambiguities of the supergravity approach as regards the validity of the comparison of the glueball masses computed there with those obtained in the continuum limit of lattice gauge theories.
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Syromyatnikov, A. G. "Electro-gravity spin density waves." International Journal of Geometric Methods in Modern Physics 14, no. 10 (September 13, 2017): 1750146. http://dx.doi.org/10.1142/s0219887817501468.

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It is known that some string models predict that strong bursts of gravitational radiation which should be detectable by LIGO, VIRGO and LISA detectors are accompanied by cosmologic gamma-ray bursts (GRBs). GRBs of low-energy gamma ray are associated with core-collapse supernovae (SN). However, measurements of the X-ray afterglow of very intense GRBs (allow a critical test of GRB theories) disagree with that predicted by widely accepted fireball internal–external shocks models of GRBs. It is also known that in a system of a large number of fermions, pairs of gravitational interaction occur on spontaneous breaking of the vacuum spatial symmetry, accompanied by gravitational mass defect. In another side, the space rays generation mechanism on a method of direct transformation of intergalactic gamma-rays to the proton current on spin shock-waves ensures precise agreement between generated proton currents (spin shock waves theory) with the angular distribution data of Galactic gamma-rays as well as for the individual pulses of gamma-/X-ray bursts. There is a precise confirmation of the generated currents (theory) with the burst radiation data characterized by the standard deviation of [Formula: see text] in intensity in relative units within the sensitivity of the equipment. Thus, it was found that the spin angular momentum conservation law (equation of dynamics of spin shock waves) in the X-ray/gamma ranges is fulfilled exactly in real time. The nature of gamma bursts is largely determined by the influence of powerful external sources. The angular distributions anisotropy of Galactic gamma rays and pulsars are determined by the paradoxes way, so this can only take place under conditions of the isotropy of space–time. In this regard, promising gravity in a Finsler space can have the selected direction in flat Minkowski space metric with torsion as in the Einstein–Cartan theory. Considering the induction of torsion in conformal transformations of tetrades (N-ades in arbitrary dimension N) under the Conformal Gauge Theory of Gravity (CGTG), here is considered an exact cosmological solution with Friedman’s asymptotic in the form of conformal flat Fock’s metrics at large times, describing the stage of decay on a cold dust-like medium of do-not-interacting-among-themselves particles and a light-like isotropic radiation. It is shown that at high times, indeed, the process of enlarging the space–time in the model metrics Friedman conformal is equivalent to Minkowski space with a gradient torsion trace in the CGTG Newtonian limit, accompanied by a polarization effect separation of electric charges induced by an electric field [Formula: see text] is manifested in the formation of plasma-like medium with a zero complete electric charge, that in the later stages of evolution is identical to the Fock’s model of a cold dust-like medium of do-not-interacting-among-themselves particles moving here with the same speed. The trace of torsion on the CGTG formula is freezing into an electromagnetic field spin tensor trace density and [Formula: see text] defined inside a spherical surface, moving at the speed of light, on which experiencing a gap. Therefore, this decision takes the form of an electro-gravity spin density wave, as performed in kinematic and dynamic close connection conditions for theorems on spin shock waves with spin flip at the front of the wave, moving at the speed of light in a vacuum. The theoretical dependence of electro-gravity wave energy output from the size of the emitting object is received. When applied to GRBs, this can give a new mechanism of nonthermal gamma rays production.
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MELZER, EZER. "NONARCHIMEDEAN CONFORMAL FIELD THEORIES." International Journal of Modern Physics A 04, no. 18 (November 10, 1989): 4877–908. http://dx.doi.org/10.1142/s0217751x89002065.

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We present a general formalism for conformal field theories defined on a non-Archimedean field. Such theories are defined by complex-valued correlation functions of fields of a [Formula: see text]-adic variable. Conformal invariance is imposed by requiring the correlation functions to be unchanged under fractional linear transformations, the latter forming the full analogue of the conformal group in two-dimensional, euclidean space-time. All fields in the theory can be taken to be "primary", under the "non-Archimedean conformal group". The conformal symmetry fixes completely the form of all correlation functions, once we are given the weight-spectrum of the theory and the OPE coefficients (which must be the structure constants of certain commutative, associative algebras). We explicitly construct non-Archimedean CFT's having the same weight spectrum as that of Archimedean models of central charge c < 1. The OPE coefficients of these "local" Archimedean and non-Archimedean models are related by adelic formulae.
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Ferrari, Franco. "Biharmonic conformal field theories." Physics Letters B 382, no. 4 (August 1996): 349–55. http://dx.doi.org/10.1016/0370-2693(96)00677-6.

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Taormina, Anne. "Extended conformal field theories." Nuclear Physics B - Proceedings Supplements 16 (August 1990): 612–14. http://dx.doi.org/10.1016/0920-5632(90)90616-3.

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Costello, Kevin. "Topological conformal field theories and gauge theories." Geometry & Topology 11, no. 3 (July 23, 2007): 1539–79. http://dx.doi.org/10.2140/gt.2007.11.1539.

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Dissertations / Theses on the topic "Defect Conformal Field Theories"

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Meineri, Marco. "Defects in Conformal Field Theories." Doctoral thesis, Scuola Normale Superiore, 2016. http://hdl.handle.net/11384/85893.

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Linke, Yannick [Verfasser], and Volker [Akademischer Betreuer] Schomerus. "Defects in Conformal Field Theories / Yannick Linke ; Betreuer: Volker Schomerus." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2018. http://d-nb.info/117142728X/34.

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Jaud, Daniel [Verfasser], and Ilka [Akademischer Betreuer] Brunner. "Topological defects in conformal field theories, entanglement entropy and indices / Daniel Jaud ; Betreuer: Ilka Brunner." München : Universitätsbibliothek der Ludwig-Maximilians-Universität, 2017. http://d-nb.info/1139977989/34.

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Quella, Thomas. "Asymmetrically gauged coset theories and symmetry breaking D-branes." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2003. http://dx.doi.org/10.18452/14909.

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Auf sehr kleinen Längenskalen erlaubt die Weltflächenbeschreibung über zweidimensionale konforme Feldtheorien eine störungstheoretische Definition der String-Theorie. Viele strukturelle Eigenschaften und phänomenologische Implikationen der letzteren können mit Hilfe von D(irichlet)-Branen untersucht werden, die in der zugrunde liegenden Weltflächentheorie durch konforme Randbedingungen beschrieben werden. Etliche interessante Hintergründe für die String-Theorie erhält man über Gruppenmannigfaltigkeiten und Coset-Modelle. Neben wichtigen Beispielen wie SL(2,R), SU(2) und Gepner-Modellen, die für AdS- und Calabi-Yau-Kompaktifizierungen eine Rolle spielen, beinhalten sie außerdem weitere Beispiele wie den Nappi-Witten-Hintergrund oder den Raum T^11, die über eine asymmetrische Wirkung der Eichgruppe definiert sind und eine kosmologische Raumzeit mit Urknall- und Weltsturz-Singularitäten bzw. die Basis des Conifolds beschreiben. Die vorliegende Arbeit bietet eine umfassende, auf den exakten Methoden der konformen Feldtheorie beruhende Analyse von asymmetrischen Coset-Modellen. Wegen der heterotischen Natur der zugrundeliegenden Symmetriealgebra erlauben diese Modelle nur Randbedingungen, die einen Teil der Symmetrie brechen. Nach einer allgemeinen Erläuterung der Grundidee für die Konstruktion von symmetriebrechenden Randbedingungen richtet sich das Hauptaugenmerk auf WZNW- und asymmetrische Coset-Modelle, die das Fundament nahezu aller bekannten konformen Feldtheorien bilden. Mit Hilfe der erzielten Ergebnisse werden die Struktur sowie die Geometrie von D-Branen in den Gruppen SL(2,R) und SU(2), im Hintergrund AdS_3 x S^3, in der kosmologischen Nappi-Witten-Raumzeit und in T^pq-Räumen untersucht. Die Techniken, die in dieser Arbeit entwickelt werden, erlauben jedoch ebenso die Behandlung von Rändern und Kontaktstellen in (1+1)- oder 2-dimensionalen kritischen Systemen, die in der Festkörpertheorie oder der statistischen Physik auftreten. Insbesondere können Defektlinien beschrieben werden, die weder totale Reflexion noch völlige Transmission aufweisen.
At very small length scales, the world sheet approach in terms of two-dimensional conformal field theories provides a perturbative definition of string theory. Many structural properties and phenomenological implications of the latter can be explored using D(irichlet)-branes which may be identified with conformal boundary conditions in the underlying world sheet theory. Several interesting backgrounds in string theory arise from group manifolds and coset theories. Apart from prominent examples such as SL(2,R), SU(2) and Gepner models which play a role in AdS and Calabi-Yau compactifications, they also include further instances like the Nappi-Witten background or the space T^11 which are constructed using an asymmetric action of the gauge group and which describe a cosmological space-time with big-bang and big-crunch singularities and the base of the conifold, respectively. The present thesis provides a comprehensive analysis of asymmetric cosets based on the exact methods of boundary conformal field theory. Due to the heterotic nature of the underlying symmetry algebra, the models only allow for conformal boundary conditions which break parts of the bulk symmetry. The universal ideas for the construction of symmetry breaking boundary conditions are indicated and applied in detail to WZNW and asymmetric coset theories which provide the basic building blocks of almost all known conformal field theories. The general results are used to investigate the structure and shape of D-branes in the group manifolds SL(2,R) and SU(2), the background AdS_3 x S^3, the cosmological Nappi-Witten space-time and T^pq-spaces. The techniques developed in this thesis also allow for a treatment of boundaries and junctions in (1+1)- or 2-dimensional critical systems in condensed matter theory and statistical physics. In particular, they enable us to describe defect lines which go beyond full reflection or transmission.
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Joshi, Keith G. "Coset conformal field theories." Thesis, University of Liverpool, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.359233.

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Montague, Paul Stewart. "Codes, lattices and conformal field theories." Thesis, University of Cambridge, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.386917.

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Bayraktaroglu, Baran. "Light-states in Conformal Field Theories." Thesis, Uppsala universitet, Teoretisk fysik, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-442580.

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Bougourzi, A. Hamid. "Free field realization of extended conformal field theories." Thesis, McGill University, 1992. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=70279.

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I investigate the free field realization (FFR) of various extended conformal field theories (ECFT's). More specifically, I first present a systematic method that allows the construction of the exponential type screening currents in terms of free fields in the case of the ECFT's with Kac-Moody algebras. This method is explicitly illustrated through the $su(n) sb{k}$ and $sp(4) sb{k}$ Kac-Moody algebras. Then, I use the FFR to unravel the embedding structure of the Verma modules of the ECFT with a $W sb3$ algebra. This embedding structure is expressed through a set of intertwining diagrams, which in turn, is used to compute the irreducible characters of the $W sb3$ algebra. Next, I construct two FFR's for the ECFT with the $su(n) sb{k}$ parafermion algebra. Finally, I sketch the FFR of the coset model $su(n) sb{k} times su(n) sb ell/su(n) sb{k+ ell},$ which is given in terms of the fields realizing the $su(n) sb{k}$ parafermion model and an extra free field with a background charge.
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Bhaseen, Miraculous Joseph. "Logarithmic conformal field theories of disordered Dirac fermions." Thesis, University of Oxford, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.393358.

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Simmons-Duffin, David. "Carving Out the Space of Conformal Field Theories." Thesis, Harvard University, 2012. http://dissertations.umi.com/gsas.harvard:10448.

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We study the constraints of conformal symmetry and unitarity in Conformal Field Theories (CFTs). Crossing symmetry of four-point functions implies universal bounds on operator dimensions and three-point function coefficients. These bounds can be extracted by solving a class of infinite-dimensional convex optimization problems, giving quantitative, nonperturbative results about potentially strongly coupled theories. Our results include general bounds on operator dimensions in 4d CFTs with concrete phenomenological implications, and novel determinations of critical exponents in the 3d Ising Model. We also introduce new techniques for computing conformal blocks of higher spin operators, paving the way for further studies.
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Books on the topic "Defect Conformal Field Theories"

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Bai, Chengming, Jürgen Fuchs, Yi-Zhi Huang, Liang Kong, Ingo Runkel, and Christoph Schweigert, eds. Conformal Field Theories and Tensor Categories. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-39383-9.

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Conformally invariant quantum field theories in two dimensions. Singapore: World Scientific, 1995.

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Sally, Paul J., Moshé Flato, James Lepowsky, Nicolai Reshetikhin, and Gregg J. Zuckerman, eds. Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups. Providence, Rhode Island: American Mathematical Society, 1994. http://dx.doi.org/10.1090/conm/175.

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AMS-IMS-SIAM, Summer Research Conference on Conformal Field Theory Topological Field Theory and Quantum Groups (1992 Mount Holyoke College). Mathematical aspects of conformal and topological field theories and quantum groups. Providence, R.I: American Mathematical Society, 1994.

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Kaku, Michio. Strings, Conformal Fields, and Topology: An Introduction. New York, NY: Springer US, 1991.

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S, Randjbar-Daemi, Sezgin Ergin, and Zuber Jean Bernard, eds. Trieste Conference on Recent Developments in Conformal Field Theories, ICTP, Trieste, Italy, October 2-4,1989. Singapore: World Scientific, 1990.

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G, Domokos, Horváth Z, and Kövesi-Domokos S, eds. Nonperturbative methods in low dimensional quantum field theories: Proceedings of the Johns Hopkins Workshop on Current Problems in Particle Theory 14, Debrecen, 1990 (August 27-30). Singapore: World Scientific, 1991.

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Z, Horváth, and Palla L, eds. Conformal field theories and integrable models: Lectures held at the Eötvös Graduate course, Budapest, Hungary 13-18 August 1996. Berlin: Springer, 1997.

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Kaku, Michio. Strings, conformal fields, and topology: An introduction. New York: Springer-Verlag, 1991.

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Center for Mathematics at Notre Dame and American Mathematical Society, eds. Toplogy and field theories: Center for Mathematics at Notre Dame, Center for Mathematics at Notre Dame : summer school and conference, Topology and field theories, May 29-June 8, 2012, University of Notre Dame, Notre Dame, Indiana. Providence, Rhode Island: American Mathematical Society, 2014.

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Book chapters on the topic "Defect Conformal Field Theories"

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Lauria, Edoardo. "Defects in Conformal Field Theories." In Springer Theses, 41–90. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-25730-9_3.

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Kythe, Prem K. "Field Theories." In Handbook of Conformal Mappings and Applications, 521–52. Boca Raton, Florida : CRC Press, [2019]: Chapman and Hall/CRC, 2019. http://dx.doi.org/10.1201/9781315180236-17.

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Zamolodchikov, Alexei B. "Perturbed Conformal Field Theory on A Sphere." In Statistical Field Theories, 105–16. Dordrecht: Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-010-0514-2_10.

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Nikolov, Nikolay M., Yassen S. Stanev, and Ivan T. Todorov. "Rational Conformal Field Theory In Four Dimensions." In Statistical Field Theories, 91–104. Dordrecht: Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-010-0514-2_9.

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Jackiw, Roman. "Representations of the Two-Dimensional Conformal Group." In Super Field Theories, 191–208. Boston, MA: Springer US, 1987. http://dx.doi.org/10.1007/978-1-4613-0913-0_7.

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Blumenhagen, Ralph, and Erik Plauschinn. "Symmetries of Conformal Field Theories." In Introduction to Conformal Field Theory, 87–111. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00450-6_3.

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Degiovanni, P. "Z/NZ Conformal Field Theories." In Springer Proceedings in Physics, 2–19. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-75405-0_1.

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Lauria, Edoardo. "Introduction to Conformal Field Theories." In Springer Theses, 7–39. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-25730-9_2.

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Fuchs, Jürgen, Ingo Runkel, and Christoph Schweigert. "Conformal Boundary Conditions and 3D Topological Field Theory." In Statistical Field Theories, 185–94. Dordrecht: Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-010-0514-2_17.

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Sierra, Germán. "Integrability and Conformal Symmetry in the BCS Model." In Statistical Field Theories, 317–28. Dordrecht: Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-010-0514-2_28.

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Conference papers on the topic "Defect Conformal Field Theories"

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Mavromatos, N., and R. J. Szabo. "Logarithmic Conformal Field Theories ..." In Corfu Summer Institute on Elementary Particle Physics. Trieste, Italy: Sissa Medialab, 1999. http://dx.doi.org/10.22323/1.001.0066.

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HUANG, YI-ZHI. "DIFFERENTIAL EQUATIONS AND CONFORMAL FIELD THEORIES." In Proceedings of the ICM2002 Satellite Conference. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812795366_0007.

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Randjbar-Daemi, S., E. Sezgin, and J. B. Zuber. "Recent Developments in Conformal Field Theories." In Trieste Conference on Recent Developments in Conformal Field Theories. WORLD SCIENTIFIC, 1990. http://dx.doi.org/10.1142/9789814540247.

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Cabra, Daniel C. "Quasiparticles operators in conformal field theories." In Trends in theoretical physics CERN-Santiago de Compostela-La Plata meeting. AIP, 1998. http://dx.doi.org/10.1063/1.54702.

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Dall'agata, Gianguido, A. Ceresolea, R. D'Auria, and S. Ferrara. "Supergravity Predictions on Conformal Field Theories." In Quantum aspects of gauge theories, supersymmetry and unification. Trieste, Italy: Sissa Medialab, 2000. http://dx.doi.org/10.22323/1.004.0013.

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Yin, Xi. "Aspects of Two-Dimensional Conformal Field Theories." In Theoretical Advanced Study Institute Summer School 2017 "Physics at the Fundamental Frontier". Trieste, Italy: Sissa Medialab, 2018. http://dx.doi.org/10.22323/1.305.0003.

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Weyers, J. "An elementary introduction to conformal field theories." In The Fifth Mexican School of particles and fields. AIP, 1994. http://dx.doi.org/10.1063/1.46856.

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Miramontes, J. Luis. "Solitonic integrable perturbations of conformal field theories." In Trends in theoretical physics CERN-Santiago de Compostela-La Plata meeting. AIP, 1998. http://dx.doi.org/10.1063/1.54692.

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Kuti, Julius. "Nearly conformal gauge theories on the lattice." In The XXVII International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2010. http://dx.doi.org/10.22323/1.091.0055.

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Fareghbal, Reza, Ali Naseh, and Shahin Rouhani. "Emergence of Conformal Invariance in Carrollian Field Theories." In 14th Regional Conference on Mathematical Physics. WORLD SCIENTIFIC, 2018. http://dx.doi.org/10.1142/9789813224971_0022.

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