A new model in the Calogero-Ruijsenaars family

Abstract

Hamiltonian reduction is used to project a trivially integrable system on the Heisenberg double of $SU(n,n)$, to obtain a system of Ruijsenaars type on a suitable quotient space. This system possesses $B{C}_n$ symmetry and is shown to be equivalent to the standard three-parameter $B{C}_n$ hyperbolic Sutherland model in the cotangent bundle limit.

arXiv commentThe paper was re-organised a little - and several typos were uncovered in the process