INTEGRABLE HIERARCHIES AND CONTACT TERMS IN u-PLANE INTEGRALS OF TOPOLOGICALLY TWISTED SUPERSYMMETRIC GAUGE THEORIES

DOI10.1142/S0217751X9900049XzbMath0939.37038arXivhep-th/9803217MaRDI QIDQ4261907

Kanehisa Takasaki

Publication date: 4 October 1999

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

Full work available at URL: https://arxiv.org/abs/hep-th/9803217

zbMATH Keywords

moduli spacessupersymmetric gauge theoryintegrable Hamiltonian systemsCoulomb branchDonaldson-Witten invariants

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Moduli problems for differential geometric structures (58D27)

Related Items (3)

\(\mathcal N=2\) supersymmetric gauge theories with massive hypermultiplets and the Whitham hierarchy. ⋮ Donaldson-Witten functions of massless \(N=2\) supersymmetric QCD ⋮ Effective gravitational couplings of four-dimensional \(\mathcal{N} = 2\) supersymmetric gauge theories

Cites Work

• Theta functions, modular invariance, and strings
• Topological quantum field theory
• Issues in topological gauge theory
• Integrability and Seiberg-Witten exact solution
• Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory
• Nonperturbative Renormalization Group Equation and Beta Function in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">N</mml:mi><mml:mi mathvariant="italic" /><mml:mspace /><mml:mo>=</mml:mo><mml:mspace /><mml:mn>2</mml:mn><mml:mn /></mml:math>Supersymmetric Yang-Mills Theory
• Integrating over the Coulomb branch in \({\mathcal N}=2\) gauge theory

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