## Abstract

The compactification of five-dimensional N = 2 SUSY Yang-Mills (YM) theory onto a circle provides a four-dimensional YM model with N = 4 SUSY. This supersymmetry can be broken down to N = 2 if non-trivial boundary conditions in the compact dimension, phi(x(5) + R) = e(2 pi i epsilon)phi(x(5)), are imposed on half of the fields, This two-parameter (R, epsilon) family of compactifications includes as particular limits most of the previously studied four-dimensional N = 2 SUSY YM models with supermultiplets in the adjoint representation of the gauge group. The finite-dimensional integrable system associated to these theories via the Seiberg-Witten construction is the generic elliptic Ruijsenaars-Schneider model. In particular the perturbative (weak coupling) limit is described by the trigonometric Ruijsenaars-Schneider model. (C) 1999 Published by Elsevier Science B.V. All rights reserved.

Original language | English |
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Pages (from-to) | 371-390 |

Number of pages | 20 |

Journal | Nuclear physics b |

Volume | 558 |

Issue number | 1-2 |

Publication status | Published - 4 Oct 1999 |

## Keywords

- SUPERSYMMETRIC GAUGE-THEORIES
- DIMENSIONAL INTEGRABLE SYSTEMS
- CALOGERO-MOSER SYSTEMS
- ACTION-ANGLE MAPS
- WDVV EQUATIONS
- SCATTERING-THEORY
- BODY PROBLEMS
- LIE-ALGEBRAS
- SPIN CHAINS
- SOLITONS