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arxiv: 1210.2315 · v1 · pith:GCSDDQDNnew · submitted 2012-10-08 · 🧮 math.QA · math-ph· math.MP

XXZ-type Bethe ansatz equations and quasi-polynomials

classification 🧮 math.QA math-phmath.MP
keywords ansatzbethemodelequationsquasi-polynomialssolutionsxxz-typealgebra
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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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