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arXiv · hep-th/9902205

The Ruijsenaars-Schneider Model in the Context of Seiberg-Witten Theory

H. W. Braden·A. Marshakov·A. Mironov·A. Morozov
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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, ϕ(x_5 +R) = e^{2πiε}ϕ(x_5), are imposed on half of the fields. This two-parameter (R,ε) 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.

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H. W. Braden, A. Marshakov, A. Mironov, A. Morozov. 1999-02-26. The Ruijsenaars-Schneider Model in the Context of Seiberg-Witten Theory. https://doi.org/10.1016/s0550-3213(99)00414-9

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