Instanton correction of prepotential in Ruijsenaars model associated with N=2 SU(2) Seiberg–Witten theory

DOI10.1063/1.533360zbMath0972.81180arXivhep-th/9909196OpenAlexW3098407622MaRDI QIDQ2738059

Yuji Ohta

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/9909196

zbMATH Keywords

prepotential\(\text{SU}(2)\) gauge theoryadjoint hypermultipletPicard-Fuchs equation of Pakuliak-Perelomov type

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Relationships between algebraic curves and integrable systems (14H70)

Related Items (3)

Nekrasov functions and the \(\mathrm{SU}(2)\) Calogero-Moser system ⋮ The mathematical modelling of rotating capillary tubes for holey-fibre manufacture ⋮ The Lax pairs for elliptic Cn and BCn Ruijsenaars–Schneider models and their spectral curves

Cites Work

• Prepotential and the Seiberg-Witten theory
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• The renormalization group equation in \(N=2\) supersymmetric gauge theories
• Picard-Fuchs equation and prepotential of five-dimensional SUSY gauge theory compactified on a circle
• Calogero-Moser and Toda systems for twisted and untwisted affine Lie algebras
• Five-dimensional gauge theories and relativistic integrable systems
• Electric-magnetic duality in supersymmetric non-abelian gauge theories
• The Ruijsenaars-Schneider model in the context of Seiberg-Witten theory.
• Integrability and Seiberg-Witten exact solution
• Supersymmetric Yang-Mills theory and integrable systems
• Exact and microscopic one-instanton calculations in \(N=2\) supersymmetric Yang-Mills theories
• Superconformal Ward identities and \(N=2\) Yang-Mills theory
• RELATIONS BETWEEN HYPERELLIPTIC INTEGRALS
• WHITHAM-TODA HIERARCHY AND N=2 SUPERSYMMETRIC YANG-MILLS THEORY
• PREPOTENTIALS OF N=2 SUPERSYMMETRIC GAUGE THEORIES AND SOLITON EQUATIONS
• WDVV Equations from Algebra of Forms
• 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
• MORE EVIDENCE FOR THE WDVV EQUATIONS IN ${\mathcal N} = 2$ SUSY YANG–MILLS THEORIES
• Picard–Fuchs equations and Whitham hierarchy in N=2 supersymmetric SU(r+1) Yang–Mills theory
• Differential equations for scaling relation in N=2 supersymmetric SU(2) Yang–Mills theory coupled with massive hypermultiplet

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