Picard–Fuchs equations and Whitham hierarchy in N=2 supersymmetric SU(r+1) Yang–Mills theory

DOI10.1063/1.533093zbMath0969.81038arXivhep-th/9906207OpenAlexW3101534427MaRDI QIDQ4498514

Yuji Ohta

Publication date: 16 August 2000

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9906207

zbMATH Keywords

Seiberg-Witten curve\(\text{SU}(r+ 1)\) gauge theory without hypermultipletsmeromorphic one-forms

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Relationships between algebraic curves and physics (14H81)

Related Items (5)

The Picard–Fuchs equation in classical and quantum physics: application to higher-order WKB method ⋮ Generalized Picard-Fuchs operators from Whitham hierarchy in \(\mathcal{N} = 2\) supersymmetric gauge theory with massless hypermultiplets ⋮ Instanton correction of prepotential in Ruijsenaars model associated with N=2 SU(2) Seiberg–Witten theory ⋮ On the structure of Picard–Fuchs type equations for Liouville–Arnold integrable Hamiltonian system on cotangent phase spaces ⋮ Whitham hierarchy and generalized Picard-Fuchs operators in the \(\mathcal{N}=2\) susy Yang-Mills theory for classical gauge groups

Cites Work

• Monodromy group of Appell's system (\(F_ 4)\)
• The dispersionless Lax equations and topological minimal models
• A new description of the \(E_6\) singularity
• RG equations from Whitham hierarchy
• Electric-magnetic duality in supersymmetric non-abelian gauge theories
• The moduli space and monodromies of the \(N=2\) supersymmetric Yang-Mills theory with any Lie gauge groups
• Integrability and Seiberg-Witten exact solution
• On the quantum moduli space of vacua of \(N=2\) supersymmetric SU\((N_{c})\) gauge theories
• Integrable systems and supersymmetric gauge theory
• Hyperelliptic curves for supersymmetric Yang-Mills
• On the quantum moduli space of vacua of \(N=2\) supersymmetric gauge theories
• Exact and microscopic one-instanton calculations in \(N=2\) supersymmetric Yang-Mills theories
• Multi-instanton calculus versus exact results in \(N=2\) supersymmetric QCD
• Instanton-induced effective Lagrangian in the Seiberg-Witten model
• Prepotentials in \(N=2\) supersymmetric SU(3) YM theory with massless hypermultiplets
• WHITHAM-TODA HIERARCHY AND N=2 SUPERSYMMETRIC YANG-MILLS THEORY
• WDVV Equations from Algebra of Forms
• NONPERTURBATIVE EFFECTIVE ACTIONS OF (N=2)-SUPERSYMMETRIC GAUGE THEORIES
• Simple Calculation of Instanton Corrections in MASSIVE N = 2 SU(3) SYM
• A NOTE ON THE PICARD–FUCHS EQUATIONS FOR N=2 SEIBERG–WITTEN THEORIES
• ADE SINGULARITY AND PREPOTENTIALS IN N=2 SUPERSYMMETRIC YANG–MILLS THEORY
• Picard–Fuchs ordinary differential systems in N=2 supersymmetric Yang–Mills theories
• Prepotentials of N=2 SU(2) Yang–Mills theories coupled with massive matter multiplets
• MORE EVIDENCE FOR THE WDVV EQUATIONS IN ${\mathcal N} = 2$ SUSY YANG–MILLS THEORIES
• Coulomb Phase of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">N</mml:mi><mml:mspace /><mml:mo>=</mml:mo><mml:mspace /><mml:mn>2</mml:mn><mml:mn /></mml:math>Supersymmetric QCD

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