Higher order Hamiltonians for the trigonometric Gaudin model

Published 19 Feb 2018 in math.QA, math-ph, and math.MP | (1802.06499v1)

Abstract: We consider the trigonometric classical $r$-matrix for $\mathfrak{gl}_N$ and the associated quantum Gaudin model. We produce higher Hamiltonians in an explicit form by applying the limit $q\to 1$ to elements of the Bethe subalgebra for the $XXZ$ model.

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