Modern Physics Letters A

Integrability, Fusion, and Duality in the Elliptic Ruijsenaars Model

Kazuhiro Hikami, Yasushi Komori

Published Apr 10, 1997• 5 citations

Abstract

The generalized elliptic Ruijsenaars models, which are regarded as a difference analog of the Calogero–Sutherland–Moser models associated with the classical root systems are studied. The integrability and the duality using the fusion procedure of operator-valued solutions of the Yang–Baxter equation and the reflection equation are shown. In particular a new integrable difference operator of type-D is proposed. The trigonometric models are also considered in terms of the representation of the affine Hecke algebra.

DOI: 10.1142/s0217732397000789

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