Relativistic Calogero-Moser model as gauged WZW theory

Details Relativistic Calogero-Moser model as gauged WZW theory Relativistic Calogero-Moser model as gauged WZW theory

1994-01-06

arxiv.org/abs/hep-th/9401017v4

Nucl.Phys. B436 (1995) 582-608

Physics

High Energy Physics

High Energy Physics - Theory

24 pages,Tex file,preprint UUITP-31/93, December 1993. Latex errors occured due to e-mail problems are eliminated in this vers

Scientific paper

10.1016/0550-3213(94)00499-5

We study quantum intergrable systems of interacting particles from the point of view, proposed in our previous paper. We obtain Calogero-Moser and Sutherland systems as well their Ruijsenaars relativistic generalization by a Hamiltonian reduction of integrable systems on the cotangent bundles over semi-simple Lie algebras, their affine algebras and central extensions of loop groups respectively. The corresponding 2d field theories form a tower of deformations. The top of this tower is gauged G/G WZW model on a cylinder with inserted Wilson line in appropriate representation.

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