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, 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 languageEnglish
Pages (from-to)371-390
Number of pages20
JournalNuclear physics b
Volume558
Issue number1-2
Publication statusPublished - 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

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