GAP CONDITION AND SELF-DUALIZED ${\mathcal N}=4$ SUPER-YANG–MILLS THEORY FOR ADE GAUGE GROUP ON K3

DOI10.1142/S0217732304013052zbMath1080.81069arXivhep-th/0303181MaRDI QIDQ5700071

Toru Sasaki

Publication date: 27 October 2005

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0303181

zbMATH Keywords

gauge symmetrydifferential and algebraic geometrysupersymmetry and dualityConformal field models in string theory

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Cites Work

• Mathai-Quillen formulation of twisted \(N=4\) supersymmetric gauge theories in four dimensions
• Geometric origin of Montonen-Olive duality
• Partition functions for BPS states of the non-critical \(E_8\) string
• E-strings and \(N=4\) topological Yang-Mills theories
• A strong coupling test of \(S\)-duality
• Euler characteristics of \(\text{SU}(2)\) instanton moduli spaces on rational elliptic surfaces
• Affine root systems and Dedekind's \(\eta\)-function
• Self-duality in four-dimensional Riemannian geometry
• Supersymmetric Yang–Mills theory on a four-manifold

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