WHITHAM DEFORMATIONS OF SEIBERG–WITTEN CURVES FOR CLASSICAL GAUGE GROUPS

DOI10.1142/S0217751X00002366zbMath0973.81036arXivhep-th/9901120OpenAlexW1987216059MaRDI QIDQ2710894

Kanehisa Takasaki

Publication date: 2 May 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/9901120

zbMATH Keywords

fractional powerssuperpotentialspectral curveaffine Toda system

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Topological field theories in quantum mechanics (81T45) Groups and algebras in quantum theory and relations with integrable systems (81R12) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (6)

Blowup equations for refined topological strings ⋮ Seiberg-Witten/Whitham Equations and Instanton Corrections in ${\mathscr{N}}=2$ Supersymmetric Yang-Mills Theory ⋮ Generalized Picard-Fuchs operators from Whitham hierarchy in \(\mathcal{N} = 2\) supersymmetric gauge theory with massless hypermultiplets ⋮ BPS relations from spectral problems and blowup equations ⋮ The Lax pairs for elliptic Cn and BCn Ruijsenaars–Schneider models and their spectral curves ⋮ Whitham hierarchy and generalized Picard-Fuchs operators in the \(\mathcal{N}=2\) susy Yang-Mills theory for classical gauge groups

Cites Work

• Loop groups and equations of KdV type
• Theta functions, modular invariance, and strings
• Characterization of Jacobian varieties in terms of soliton equations
• Geometric realization of conformal field theory on Riemann surfaces
• Completely integrable systems, Euclidean Lie algebras, and curves
• The spectrum of difference operators and algebraic curves
• The dispersionless Lax equations and topological minimal models
• Hamiltonian formalism of Whitham-type hierarchies and topological Landau- Ginsburg models
• Integration of nonlinear equations by the methods of algebraic geometry
• A new description of the \(E_6\) singularity
• The renormalization group equation in \(N=2\) supersymmetric gauge theories
• Solutions of four-dimensional field theories via M-theory
• On the integrable geometry of soliton equations and \(N=2\) supersymmetric gauge theories
• RG equations from Whitham hierarchy
• Issues in topological gauge theory
• Integrability and Seiberg-Witten exact solution
• Towards effective topological gauge theories on spectral curves
• Integrable systems and supersymmetric gauge theory
• Supersymmetric Yang-Mills theory and integrable systems
• The vacuum structure of \(N=2\) super-QCD with classical gauge groups
• Integrability and Seiberg-Witten theory -- curves and periods
• Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory
• Cohomological structure in soliton equations and Jacobian varieties
• EXACT SOLUTIONS TO QUANTUM FIELD THEORIES AND INTEGRABLE EQUATIONS
• WHITHAM-TODA HIERARCHY AND N=2 SUPERSYMMETRIC YANG-MILLS THEORY
• PREPOTENTIALS OF N=2 SUPERSYMMETRIC GAUGE THEORIES AND SOLITON EQUATIONS
• NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
• TOPOLOGICAL CONFORMAL FIELD THEORIES AND THE FLAT COORDINATES
• 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
• INTEGRABLE HIERARCHIES AND DISPERSIONLESS LIMIT
• Integrating over the Coulomb branch in \({\mathcal N}=2\) gauge theory

This page was built for publication: WHITHAM DEFORMATIONS OF SEIBERG–WITTEN CURVES FOR CLASSICAL GAUGE GROUPS