# Quasi-polynomials and the Bethe Ansatz

@article{Mukhin2006QuasipolynomialsAT,
title={Quasi-polynomials and the Bethe Ansatz},
author={Evgeny Mukhin and Alexander N. Varchenko},
journal={arXiv: Quantum Algebra},
year={2006}
}
• Published 3 April 2006
• Mathematics
• arXiv: Quantum Algebra
We study solutions of the Bethe Ansatz equation related to the trigonometric Gaudin model associated to a simple Lie algebra g and a tensor product of irreducible finite-dimensional representations. Having one solution, we describe a construction of new solutions. The collection of all solutions obtained from a given one is called a population. We show that the Weyl group of g acts on the points of a population freely and transitively (under certain conditions). To a solution of the Bethe…
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