Algebraic nested Bethe ansatz for the elliptic Ruijsenaars model

Mathematics – Quantum Algebra

Scientific paper

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Scientific paper

The eigenvalues of the elliptic N-body Ruijsenaars operator are obtained by a
dynamical version of the algebraic nested Bethe ansatz method. We use a result
of Felder and Varchenko, who showed how to obtain the Ruijsenaars operator as
the transfer matrix of a particular representation of the elliptic quantum
group associated to gl(N).

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