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arxiv: 1311.4641 · v2 · pith:7SPH5VFGnew · submitted 2013-11-19 · 🧮 math-ph · math.MP· math.SG· nlin.SI

A new model in the Calogero-Ruijsenaars family

classification 🧮 math-ph math.MPmath.SGnlin.SI
keywords systemmodelbundlecalogero-ruijsenaarscotangentdoubleequivalentfamily
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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.

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