The Ruijsenaars-Schneider model in the context of Seiberg-Witten theory

H. W. Braden, A. Marshakov, A. Mironov, A. Morozov

Research output: Contribution to journalArticlepeer-review

45 Citations (Scopus)


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, ø(x5 + R) = e2π¡∈ ø(x5), are imposed on half of the fields. This two-parameter (R, ∈) 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 finitedimensional 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.

Original languageEnglish
Pages (from-to)371-390
Number of pages20
JournalNuclear Physics B
Issue number1-2
Publication statusPublished - 4 Oct 1999
Externally publishedYes


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