Five Dimensional Gauge Theories and Relativistic Integrable Systems

Abstract

We propose a non-perturbative solution of N=2 supersymmetric gauge theory in five dimensions compactified on circle of a radius $R$. We consider the cases of the pure gauge theory as well as the theories with matter in the fundamental and in the adjoint representations. The pure theory as well as the one with adjoint hypermultiplet give rise to the known relativistic integrable systems with $\frac{1}{R}$ playing the rôle of the speed of light. The theory with adjoint hypermultiplet exhibits some interesting finiteness properties. Talk given at the III International Conference ``Conformal Field Theories and Integrable Models'', Chernogolovka, June 23-30 1996

harvmac, 16 pages in the little mode. Relation to WDVV equations is removed

References in corpus (6)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Supersymmetric Yang-Mills Systems And Integrable Systems
• Integrability and Seiberg-Witten Exact Solution
• Integrable systems and supersymmetric gauge theory
• Relativistic Calogero-Moser model as gauged WZW theory

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