On double-elliptic integrable systems 1. A duality argument for the case of SU(2)

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

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

We construct a two-parameter family of 2-particle Hamiltonians closed under the duality operation of interchanging the (relative) momentum and coordinate. Both coordinate and momentum dependence are elliptic, and the modulus of the momentum torus is a non-trivial function of the coordinate. This model contains as limiting cases the standard Ruijsenaars-Calogero and Toda family of Hamiltonians, which are at most elliptic in the coordinates, but not in the momenta. (C) 2000 Elsevier Science B.V. All rights reserved.

Original languageEnglish
Pages (from-to)553-572
Number of pages20
JournalNuclear physics b
Volume573
Issue number1-2
Publication statusPublished - 1 May 2000

Keywords / Materials (for Non-textual outputs)

  • YANG-MILLS THEORY
  • SEIBERG-WITTEN THEORY
  • SUPERSYMMETRIC GAUGE
  • WDVV EQUATIONS
  • FIELD-THEORIES
  • BODY PROBLEMS
  • BRANES
  • MONOPOLES
  • HIERARCHY
  • STRINGS

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