Cyclotomic Gaudin models with irregular singularities

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JournalJournal of Geometry and Physics
DateAccepted/In press - 15 Jul 2017
DateE-pub ahead of print - 4 Aug 2017
DatePublished (current) - Aug 2017
Volume121
Number of pages32
Pages (from-to)247-278
Early online date4/08/17
Original languageEnglish

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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