Relevant bibliographies by topics / Yang-Mills instantons

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Academic literature on the topic 'Yang-Mills instantons'

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Published: 14 March 2023

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Journal articles on the topic "Yang-Mills instantons"

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Lai, Sheng-Hong, Jen-Chi Lee, and I.-Hsun Tsai. "Extended complex Yang–Mills instanton sheaves." International Journal of Geometric Methods in Modern Physics 17, no. 04 (March 2020): 2050061. http://dx.doi.org/10.1142/s0219887820500619.

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In the search of Yang–Mills (YM) instanton sheaves with topological charge two, the rank of [Formula: see text] matrix in the monad construction can be dropped from the bundle case with rank [Formula: see text] to either rank [Formula: see text] [S. H. Lai, J. C. Lee and I. H. Tsai, Yang–Mills instanton sheaves, Ann. Phys. 377 (2017) 446] or 0 on some points of [Formula: see text] of the sheaf cases. In this paper, we first show that the sheaf case with rank [Formula: see text] does not exist for the previous construction of [Formula: see text] complex YM instantons [S. H. Lai, J. C. Lee and I. H. Tsai, Biquaternions and ADHM construction of concompact [Formula: see text] Yang–Mills instantons, Ann. Phys. 361 (2015) 14]. We then show that in the new “extended complex YM instantons” discovered in this paper, rank [Formula: see text] can be either 2 on the whole [Formula: see text] (bundle) with some given ADHM data or 1, 0 on some points of [Formula: see text] with other ADHM data (sheaves). These extended [Formula: see text] complex YM instantons have no real instanton counterparts. Finally, the potential applications to real physics systems are noted in the end of the paper.
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Kim, Hongsu, and Yongsung Yoon. "Yang–Mills instantons in the gravitational instanton backgrounds." Physics Letters B 495, no. 1-2 (December 2000): 169–75. http://dx.doi.org/10.1016/s0370-2693(00)01224-7.

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MIYAGI, SAYURI. "YANG–MILLS INSTANTONS ON SEVEN-DIMENSIONAL MANIFOLD OF G2 HOLONOMY." Modern Physics Letters A 14, no. 37 (December 7, 1999): 2595–604. http://dx.doi.org/10.1142/s0217732399002728.

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We investigate Yang–Mills instantons on a seven-dimensional manifold of G2 holonomy. By proposing a spherically symmetric ansatz for the Yang–Mills connection, we have ordinary differential equations as the reduced instanton equation, and give some explicit and numerical solutions.
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Kronheimer, Peter B., and Hiraku Nakajima. "Yang-Mills instantons on ALE gravitational instantons." Mathematische Annalen 288, no. 1 (December 1990): 263–307. http://dx.doi.org/10.1007/bf01444534.

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OH, JOHN J., and HYUN SEOK YANG. "EINSTEIN MANIFOLDS AS YANG–MILLS INSTANTONS." Modern Physics Letters A 28, no. 21 (July 7, 2013): 1350097. http://dx.doi.org/10.1142/s0217732313500971.

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It is well known that Einstein gravity can be formulated as a gauge theory of Lorentz group where spin connections play a role of gauge fields and Riemann curvature tensors correspond to their field strengths. One can then pose an interesting question: What is the Einstein equation from the gauge theory point of view? Or equivalently, what is the gauge theory object corresponding to Einstein manifolds? We show that the Einstein equations in four dimensions are precisely self-duality equations in Yang–Mills gauge theory and so Einstein manifolds correspond to Yang–Mills instantons in SO (4) = SU (2)L × SU (2)R gauge theory. Specifically, we prove that any Einstein manifold with or without a cosmological constant always arises as the sum of SU (2)L instantons and SU (2)R anti-instantons. This result explains why an Einstein manifold must be stable because two kinds of instantons belong to different gauge groups, instantons in SU (2)L and anti-instantons in SU (2)R, and so they cannot decay into a vacuum. We further illuminate the stability of Einstein manifolds by showing that they carry nontrivial topological invariants.
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Belitsky, A. V., S. Vandoren, and P. van Nieuwenhuizen. "Yang-Mills and D -instantons." Classical and Quantum Gravity 17, no. 17 (August 23, 2000): 3521–70. http://dx.doi.org/10.1088/0264-9381/17/17/305.

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Etesi, G�bor, and Tam�s Hausel. "On Yang-Mills Instantons over Multi-Centered Gravitational Instantons." Communications in Mathematical Physics 235, no. 2 (April 1, 2003): 275–88. http://dx.doi.org/10.1007/s00220-003-0806-8.

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Colladay, Don, and Patrick McDonald. "Yang–Mills instantons with Lorentz violation." Journal of Mathematical Physics 45, no. 8 (August 2004): 3228–38. http://dx.doi.org/10.1063/1.1767624.

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Segert, Jan. "Frobenius manifolds from Yang-Mills instantons." Mathematical Research Letters 5, no. 3 (1998): 327–44. http://dx.doi.org/10.4310/mrl.1998.v5.n3.a6.

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Groisser, David, and Thomas H. Parker. "Semiclassical Yang-Mills theory I: Instantons." Communications in Mathematical Physics 135, no. 1 (December 1990): 101–40. http://dx.doi.org/10.1007/bf02097659.

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Dissertations / Theses on the topic "Yang-Mills instantons"

1

Stevenson, David. "Yang-Mills instantons over Hopf surfaces." Thesis, University of Warwick, 1992. http://wrap.warwick.ac.uk/109472/.

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The 4-manifold S1 x S3, when endowed with the structure of a certain complex Hopf surface, is an example of a principal elliptic fibration. We use this structure to study the moduli spaces of anti-self-dual connections (instantons) on SU(2) bundles over S1 x S3. Chapter 1 is introductory. We define Buchdahl's notion of stability and outline the correspondence between instantons and stable holomorphic SL(2,C) bundles over S1 x S3. In Chapter 2 we study holomorphic line and SL(2, C) bundles over a general principal elliptic surface using an extension of the ‘graph’ invariant introduced by Braam and Hurtubise. We prove some auxiliary results needed in later chapters and introduce a stratification of the moduli space. In Chapter 3 we construct elements of one of the strata using the ‘Serre construction’ of algebraic geometry and deduce a structure result for the charge 1 case. Chapter 4 applies the results of the previous chapters in the construction of monopoles on the solid torus with a hyperbolic metric. We recover easily a result of Braam and Hurtubise. In Chapter 5 we adapt a construction of Friedman to describe a method of construction for elements of the remaining strata of the moduli spaces over the Hopf surface. In the charge 1 case we again determine the diffeomorphism type of the stratum completely. Combined with the results of Chapter 3 we deduce the natural action of S1 x S3 on the charge 1 moduli space is free. In Chapter 6 we study the charge 1 instanton moduli spaces over secondary Hopf surfaces diffeomorphic to the product of S1 and a Lens space. Chapter 7 considers twistorial methods and their application in the construction of explicit solutions. We define an invariant of an instanton, the spectral surface, which is a 2-dimensional analogue of Hitchin’s spectral curve. We use it to deduce that methods of Atiyah and Ward fail to generate a full family of charge 1 solutions. Finally we show how the spectral surface can be used in a sheaf theoretic construction of the ‘missing’ solutions.
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Tavares, Gustavo Marques. "Instantons em espaços curvos." [s.n.], 2010. http://repositorio.unicamp.br/jspui/handle/REPOSIP/277048.

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Orientador: Ricardo Antonio Mosna
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Fisica Gleb Wataghin
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Resumo: Neste trabalho estudamos os instantons da teoria de Yang-Mills nos espaços de Schwarzs-child e de Reissner-Nordstrom com grupo de gauge SU(2).Instantons são soluções clássicas da teoria de Yang-Mills definida em um espaço com métrica riemanniana (positiva-definida) e com ação finita. Primeiramente revisamos a formulação geométrica da teoria de Yang-Mills em uma variedade 4-dimensional,identificando os campos de gauge com conexões em um fibrado principal. Em seguida apresentamos os principais resultados clássicos relacionados aos instantons no espaço plano. Na segunda parte da dissertação realizamos um estudo sistemático das soluções da teoria de Yang-Mills nos espaços de Schwarzschild e de Reissner-Nordstrom euclidianos. Esta abordagem nos permitiu descobrir novas famílias de instantons neste contexto.Ainda,os resultados obtidos mostram que o número de famílias de instantons no espaço de Reissner- Nordstrom depende diretamente da carga elétrica que caracteriza esta geometria
Abstract: In this work we study instanton solutions of the Yang-Mills theory in Schwarzschild and Reissner-Nordstrom spaces with gauge group SU(2).Instantons are solutions to the classical field equations of Yang-Mills theory defined in a space with Riemannian (positive de finite)metric with finite action. We begin with a review of the geometric setting of Yang-Mills theory on a four dimensional manifold,which relates the gauge fields to connections on a fiber bundle.We proceed by presenting the main results related to instantons in flat space. In the second part of this thesis we perform a systematic study of the solutions of Yang-Mills theory in Euclidian Schwarzschild and Reissner-Nordstrom spaces.This approach led us to discover a new family of instantons de fined in those backgrounds. Moreover, our results show that the number of instanton families in the Reissner-Nordstrom space depends directly on the eletric charge which caracterizes this geometry
Mestrado
Física das Particulas Elementares e Campos
Mestre em Física
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Cherkis, Sergey A., Clare O’Hara, and Dmitri Zaitsev. "A compact expression for periodic instantons." ELSEVIER SCIENCE BV, 2016. http://hdl.handle.net/10150/622368.

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Instantons on various spaces can be constructed via a generalization of the Fourier transform called the ADHM-Nahm transform. An explicit use of this construction, however, involves rather tedious calculations. Here we derive a simple formula for instantons on a space with one periodic direction. It simplifies the ADHM-Nahm machinery and can be generalized to other spaces.
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Terra-Cunha, Marcelo de Oliveira 1973. "A geometria e os instantons da teoria de Yang & Mills SU(2)." [s.n.], 1997. http://repositorio.unicamp.br/jspui/handle/REPOSIP/278325.

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Orientador: Marcio Antonio de Faria Rosa
Dissertação (mestrado) - Universidade estadual de Campinas, Instituto de Fisica "Gleb Wataghin"
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Resumo: Introduzimos a Teoria de Yang & Mills clássica com um enfoque geométrico. Vários argumentos são apresentados em favor da "realidade física" dos potenciais, mesmo no nível clássico. Especializamos para o caso do grupo SU(2) sobre espaço-tempo euclideano. Definimos os Instantons desta teoria e apresentamos um método para sua obtenção. Como subsídio ao leitor, apresentamos o conceito de Homotopia, incluindo as sequências exatas de fibração e alguns resultados da homotopia das esferas. Apresentamos a construção de [Rigas] de representantes de S3-fibrados sobre S4, que mostramos ser o ambiente matemático natural das soluções instantônicas desta teoria. Finalmente, adaptamos tal construção e apresentamos um novo método de construção do instanton e do anti-instanton fundamentais e apresentamos caminhos que podem levar à generalização deste método
Abstract: Classical Yang & Mills Theory is presented from a geometrical viewpoint. Many arguments leading to the "physical reality" of Yang & Mills potentials are given. Further, we specialize to SU(2) Lie group theory over Euclidean space-time. Instantons of this theory are defined and a way to compute them is shown. It is also given an introduction to Homotopy theory, starting from the very basic concepts and leading to exact sequences of fiber spaces and to some important results about the homotopy of spheres. The construction of S3-bundles over S4 representants given in [Rigas] is presented. Such mathematical objects are shown to be the natural place of instanton solutions of this theory. We adapt this construction and show how to find the fundamental instanton and anti-instanton solutions and also we give some possible ways to obtain the generalizations of this result to find multi-instantons
Mestrado
Física
Mestre em Física
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Branco, Lucas Magalhães Pereira Castello 1988. "Mapas momento em teoria de calibre." [s.n.], 2013. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306010.

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Orientador: Marcos Benevenuto Jardim
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica
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Resumo: Neste trabalho os aspectos básicos da teoria de calibre são abordados, incluindo as noções de conexão e curvatura em fibrados principais e vetoriais, considerações sobre o grupo de transformações de calibre e o espaço de moduli de soluções para a equação anti-auto-dual em dimensão quatro (o espaço de moduli de instantons). Posteriormente, mapas momento e redução são introduzidos. Primeiramente, no contexto clássico de geometria simplética e depois no contexto de geometria hyperkähler. Por fim, são apresentadas aplicações da teoria de mapas momento e redução em teoria de calibre. As equações ADHM são introduzidas e mostra se que estas podem ser dadas como o conjunto de zeros de um mapa momento hyperkähler. Além disso, considerações são feitas acerca da construção ADHM de instantons, que relaciona soluções dessas equações com as soluções da equação de anti-auto-dualidade. O espaço de moduli de conexões planas é também abordado. Neste caso, a curvatura é vista como um mapa momento e os cálculos podem ser generalizados para o espaço de moduli de conexões planas sobre variedades Kähler de dimensões mais altas e para o espaço de moduli de instantons sobre variedades hyperkähler de dimensão quatro
Abstract: In this work it is developed the basic concepts of gauge theory, including the notions of connections and curvature on principal bundles and vector bundles, considerations on the group of gauge transformations and the moduli space of anti-self-dual connections in dimension four (the instanton moduli space). After, moment maps and reduction are introduced. First in the classical context of symplectic geometry, then in hyperkähler geometry. At last, applications to the theory of moment maps and reduction in gauge theory are given. The ADHM equations are introduced and it is shown that solutions to these equations can be given by the zeros of a hyperkähler moment map. Furthermore, the ADHM construction, that relates the ADHM equations to instanton solutions, is discussed. The moduli space of flat connections over a Riemann surface is also treated. In this case, the curvature is seen as a moment map and the calculations can be generalized to flat connections over higher-dimensional Kähler manifolds and to the instanton moduli space over four dimensional hyperkähler manifolds
Mestrado
Matematica
Mestre em Matemática
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De, Martino Marcelo Gonçalves 1986. "Teoria de calibre em dimensões dois e quatro." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306013.

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Orientador: Marcos Benevenuto Jardim
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica
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Resumo: Este trabalho procurou apresentar os conhecimentos básicos necessários para trabalhar com a teoria de calibre em baixas dimensões e também mostrar algumas aplicações da mesma. Na parte básica da teoria, além de comentar aspectos da teoria de Hodge para variedades compactas, também se discute, com certo nível de detalhes, os conceitos de fibrados vetoriais e conexões, com ênfase dada para os cálculos locais com conexões e curvaturas. Duas aplicações mais concretas da teoria de calibre são apresentadas nesta dissertação. Primeiro, em dimensão quatro, discute-se a equação de Yang-Mills sobre 4-variedades e é apresentada uma solução para a equação anti-auto-dual, solução esta que é conhecida na literatura como ansatz de 't Hooft. Por fim, é apresentada a prova, baseado no artigo [DONALDSON, 1983], de um importante teorema devido a M. S. Narasimhan e C. S. Seshadri que relaciona os conceitos de estabilidade com o de existência de conexão unitária satisfazendo certa propriedade, em fibrados vetoriais complexos sobre superfícies de Riemann
Abstract: In this work it is developed the basic knowledge required to deal with gauge theory in low dimension and it is shown some applications of this theory. Regarding the basic knowledge, apart from discussing some aspects of Hodge theory over compact manifolds, it is also covered, with a certain deal of details, the concepts of vector bundles and connections, paying close attention to the local computations regarding connections and curvature. As for the applications of the theory, we start, in dimension four, by treating the Yang-Mills equation over 4-manifolds and it is showed a solution to the anti-self-dual Yang-Mills equation, solution that is known in the literature as the 't Hooft ansatz. At last, it is given a proof, following the paper [DONALDSON, 1983], of an important theorem due to M. S. Narasimhan and C. S. Seshadri that relates the algebro-geometric notion of stability to the differential-geometric notion of existence of unitary connection whose curvature satisfies a certain condition, on vector bundles over Riemann surfaces
Mestrado
Matematica
Mestre em Matemática
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Koehl, Christian. "Geometry of supersymmetric sigma models and D-brane solitons." Thesis, Queen Mary, University of London, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.325106.

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Slater, Matthew J. "Instanton effects in supersymmetric SU(N) gauge theories." Thesis, Durham University, 1998. http://etheses.dur.ac.uk/4812/.

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We investigate nonperturbative effects due to instantons in N = 2 supersymmetric SU(N) Yang-Mills models, with the aim of testing the exact results predicted for these models. In two separate semiclassical calculations we obtain the one-instanton contribution to the Higgs condensate u(_3) = (TrA(^3)) and to the prepotential F. Comparing our results with the exact predictions, we find complete agreement except when the number of flavours of fundamental matter hypermultiplets, N(_f), takes certain values. The source of the u(_3) discrepancy is an ambiguity in the parameterization of the hyperelliptic curves from which the exact predictions are derived when N(_f) ≥ N. This ambiguity can easily be fixed using the results of instanton calculations. The discrepancy associated with T appears in the finite N(_f) = 2N models. For these models we are unable to modify the curves to agree with the instanton calculations when N > 3. Our one-instanton calculation of the prepotential is facilitated by a multi-instanton calculus which we construct, starting from the general solution of Atiyah, Drinfeld, Hitchin and Manin. Our calculus comprises: (i) the super-multi-instanton background, (ii) the su persymmetric multi-instanton action and (iii) the supersymmetric semiclassical collective coordinate measure. Our calculus has application to supersymmetric Yang-Mills theory with gauge group U(N) or SU(_N). We employ our instanton calculus to derive results at arbitrary k-instanton levels. In N =2 supersymmetric SU(N) Yang-Mills theory, we derive a closed form expression for the A;-instanton contribution to the prepotential. This amounts to a solution, in quadratures, of the low-energy physics of the theory, obtained from first principles. In supersymmetric SU(2) Yang-Mills theory, we use our calculus to investigate multi-instanton contributions to higher-derivative terms in the Wilsonian effective action. Using a scaling argument, based on general properties of the SU(2) k-instanton action and measure, we show that in the finite, massless N = 2 and N = 4 models, all k-instanton contributions to the next-to- leading higher-derivative terms vanish. This confirms a nonperturbative nonrenormalization theorem due to Dine and Seiberg.
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Contatto, Felipe. "Vortices, Painlevé integrability and projective geometry." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/275099.

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GaugThe first half of the thesis concerns Abelian vortices and Yang-Mills theory. It is proved that the 5 types of vortices recently proposed by Manton are actually symmetry reductions of (anti-)self-dual Yang-Mills equations with suitable gauge groups and symmetry groups acting as isometries in a 4-manifold. As a consequence, the twistor integrability results of such vortices can be derived. It is presented a natural definition of their kinetic energy and thus the metric of the moduli space was calculated by the Samols' localisation method. Then, a modified version of the Abelian–Higgs model is proposed in such a way that spontaneous symmetry breaking and the Bogomolny argument still hold. The Painlevé test, when applied to its soliton equations, reveals a complete list of its integrable cases. The corresponding solutions are given in terms of third Painlevé transcendents and can be interpreted as original vortices on surfaces with conical singularity. The last two chapters present the following results in projective differential geometry and Hamiltonians of hydrodynamic-type systems. It is shown that the projective structures defined by the Painlevé equations are not metrisable unless either the corresponding equations admit first integrals quadratic in first derivatives or they define projectively flat structures. The corresponding first integrals can be derived from Killing vectors associated to the metrics that solve the metrisability problem. Secondly, it is given a complete set of necessary and sufficient conditions for an arbitrary affine connection in 2D to admit, locally, 0, 1, 2 or 3 Killing forms. These conditions are tensorial and simpler than the ones in previous literature. By defining suitable affine connections, it is shown that the problem of existence of Killing forms is equivalent to the conditions of the existence of Hamiltonian structures for hydrodynamic-type systems of two components.
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Tahiridimbisoa, Nirina Maurice Hasina. "Instantons in D=5 super-Yang-Mills theory." Thesis, 2014.

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One of the key goals of string theory is to provide a uni cation of general relativity and quantum eld theory. In the pursuit of this goal it has become clear that the di erent string theories that have been discovered so far are all in fact, partial descriptions of a single theory. At strong coupling a new theory, called M-theory, is the correct description. M-theory includes gravitons, M2-branes and M5-branes. Up to now, the correct description of the M5-brane is outstanding. In this project some proposals for this theory are studied. In particular, there is a proposal that D=5 maximally supersymmetric Yang-Mills theory can be used to provide a description of the world volume physics of the M5-brane. According to this proposal, instantons in D=5 maximally supersymmetric Yang-Mills theory are graviton excitations of the M theory. In this M.Sc dissertation the instanton solutions of D=5 maximally supersymmetric Yang-Mills theory are explored, with the goal of testing the above proposal. The dissertation begins with a review of the uses of instantons in quantum mechanics. In particular, instantons are used to account for tunneling e ects within a path integral approach to quantum mechanics. The lifting of ground state degeneracies as well as the estimation of the lifetime of unstable states using instantons is developed. The quantization of gauge theories is reviewed in detail. The relevance of instantons for a semi-classical study of Yang-Mills theory is explained. Finally, the relevance of instantons for D = 5 maximally supersymmetric Yang-Mills theory is considered.
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Books on the topic "Yang-Mills instantons"

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Stevenson, David. Yang-Mills instantons over Hopf surfaces. [s.l.]: typescript, 1992.

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Kachelriess, Michael. Anomalies, instantons and axions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0017.

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The axial anomaly is derived both from the non-invariance of the path-integral measure under UA(1) transformations and calculations of specific triangle diagrams. It is demonstrated that the anomalous terms are cancelled in the electroweak sector of the standard model, if the electric charge of all fermions adds up to zero. The CP-odd term F̃μν‎Fμν‎ introduced by the axial anomaly is a gauge-invariant renormalisable interaction which is also generated by instanton transitions between Yang–Mills vacua with different winding numbers. The Peceei–Quinn symmetry is discussed as a possible explanation why this term does not contribute to the QCD action.
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Book chapters on the topic "Yang-Mills instantons"

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Christ, Norman H., Erick J. Weinberg, and Nancy K. Stanton. "General self-dual Yang-Mills solutions." In Instantons in Gauge Theories, 136–48. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/9789812794345_0019.

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Jackiw, R., and C. Rebbi. "Spinor Analysis of Yang-Mills Theory." In Instantons in Gauge Theories, 217–25. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/9789812794345_0026.

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BELAVIN, A. A., A. M. POLYAKOV, A. S. SCHWARTZ, and Yu S. TYUPKIN. "PSEUDOPARTICLE SOLUTIONS OF THE YANG-MILLS EQUATIONS." In Instantons in Gauge Theories, 22–24. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/9789812794345_0004.

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Jackiw, R., and C. Rebbi. "Conformal properties of a Yang-Mills pseudoparticle." In Instantons in Gauge Theories, 90–96. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/9789812794345_0011.

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Jackiw, R., and C. Rebbi. "Vacuum Periodicity in a Yang-Mills Quantum Theory." In Instantons in Gauge Theories, 25–28. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/9789812794345_0005.

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Witten, Edward. "Some Exact Multipseudoparticle Solutions of Classical Yang-Mills Theory." In Instantons in Gauge Theories, 124–27. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/9789812794345_0016.

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Kanki, T. "Variational Calculation of Instanton-Based Yang-Mills Vacuum at Finite Temperature." In Variational Calculations In Quantum Field Theory, 215–22. WORLD SCIENTIFIC, 1988. http://dx.doi.org/10.1142/9789814390187_0019.

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de la Ossa, Xenia, Magdalena Larfors, and Eirik E. Svanes. "Restrictions of Heterotic G2 Structures and Instanton Connections." In Geometry and Physics: Volume II, 503–18. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802020.003.0020.

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This chapter revisits recent results regarding the geometry and moduli of solutions of the heterotic string on manifolds Y with a G 2 structure. In particular, such heterotic G 2 systems can be rephrased in terms of a differential Ď acting on a complex Ωˇ∗(Y,Q), where Ωˇ=T∗Y⊕End(TY)⊕End(V), and Ď is an appropriate projection of an exterior covariant derivative D which satisfies an instanton condition. The infinitesimal moduli are further parametrized by the first cohomology HDˇ1(Y,Q). The chapter proceeds to restrict this system to manifolds X with an SU(3) structure corresponding to supersymmetric compactifications to four-dimensional Minkowski space, often referred to as Strominger–Hull solutions. In doing so, the chapter derives a new result: the Strominger–Hull system is equivalent to a particular holomorphic Yang–Mills covariant derivative on Q|X=T∗X⊕End(TX)⊕End(V).
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Conference papers on the topic "Yang-Mills instantons"

1

Helmke, Uwe. "Parametrizations for multi-mode systems and Yang-Mills instantons." In 1986 25th IEEE Conference on Decision and Control. IEEE, 1986. http://dx.doi.org/10.1109/cdc.1986.267339.

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2

Nakajima, Hiroaki, Katsushi Ito, Shin Sasaki, Pyungwon Ko, and Deog Ki Hong. "Instanton Effective Action in Deformed Super Yang-Mills Theories." In SUPERSYMMETRY AND THE UNIFICATION OF FUNDAMENTAL INTERACTIONS. AIP, 2008. http://dx.doi.org/10.1063/1.3051987.

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3

Ohta, Kazutoshi. "Instanton Counting, Two Dimensional Yang-Mills Theory and Topological Strings." In Proceedings of the International Sendai-Beijing Joint Workshop. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812779649_0012.

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