XXZ-type Bethe ansatz equations and quasi-polynomials

Published 8 Oct 2012 in math.QA, math-ph, and math.MP | (1210.2315v1)

Abstract: We study solutions of the Bethe ansatz equation for the XXZ-type integrable model associated with the Lie algebra sl_N. We give a correspondence between solutions of the Bethe ansatz equations and collections of quasi-polynomials. This extends the results of E.Mukhin and A.Varchenko for the XXX-type model and the trigonometric Gaudin model.

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