Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-02-26
Nucl.Phys. B558 (1999) 371-390
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, LaTeX
Scientific paper
10.1016/S0550-3213(99)00414-9
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.
Braden Harry W.
Marshakov Andrei
Mironov Aleksej
Morozov Alexander
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