Five Dimensional Gauge Theories and Relativistic Integrable Systems

Details Five Dimensional Gauge Theories and Relativistic Integrable Systems Five Dimensional Gauge Theories and Relativistic Integrable Systems

1996-09-29

arxiv.org/abs/hep-th/9609219v3

Nucl.Phys. B531 (1998) 323-344

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0550-3213(98)00436-2

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 ${1\over{R}}$ playing the r\^ole 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

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