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arXiv · 1611.09059

Cyclotomic Gaudin models with irregular singularities

Benoit Vicedo·Charles A. S. Young
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Abstract

Generalizing the construction of the cyclotomic Gaudin algebra from arXiv:1409.6937, we define the universal cyclotomic Gaudin algebra. It is a cyclotomic generalization of the Gaudin models with irregular singularities defined in arXiv:math/0612798. We go on to solve, by Bethe ansatz, the special case in which the Lax matrix has simple poles at the origin and arbitrarily many finite points, and a double pole at infinity.

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Benoit Vicedo, Charles A. S. Young. 2016-11-28. Cyclotomic Gaudin models with irregular singularities. https://doi.org/10.1016/j.geomphys.2017.07.013

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