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A new model in the Calogero-Ruijsenaars family

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 $BC_n$ symmetry and is shown to be equivalent to the standard three-parameter $BC_n$ hyperbolic Sutherland model in the cotangent bundle limit.

preprint2013arXivOpen access
Ian Marshall
math.SGmath-phmath.MPnlin.SI
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Open access1 author4 topics
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Ian Marshall

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