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

Citation
Hw. Braden et al., The Ruijsenaars-Schneider model in the context of Seiberg-Witten theory, NUCL PHYS B, 558(1-2), 1999, pp. 371-390
Citations number
73
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B
ISSN journal
0550-3213 → ACNP
Volume
558
Issue
1-2
Year of publication
1999
Pages
371 - 390
Database
ISI
SICI code
0550-3213(19991004)558:1-2<371:TRMITC>2.0.ZU;2-2
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 su persymmetry 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 i mposed on half of the fields, This two-parameter (R, epsilon) family of com pactifications 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 ge neric elliptic Ruijsenaars-Schneider model. In particular the perturbative (weak coupling) limit is described by the trigonometric Ruijsenaars-Schneid er model. (C) 1999 Published by Elsevier Science B.V. All rights reserved.