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.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Astronomy and Astrophysics
- Physics and Astronomy(all)