Cyclotomic Gaudin models with irregular singularities

JOURNAL OF GEOMETRY AND PHYSICS

卷:121

Article

Vicedo, Benoit¹  Young, Charles¹ 

[1] Univ Hertfordshire, Sch Phys Astron & Math, Coll Lane, Hatfield AL10 9AB, Herts, England

关键词: Quantum integrable model;    Cyclotomic Gaudin model;    Irregular singularities;    Coinvariants;    Bethe ansatz;   

DOI  :  10.1016/j.geomphys.2017.07.013

来源: Elsevier

【 摘 要 】

Generalizing the construction of the cyclotomic Gaudin algebra from Vicedo and Young (2016), we define the universal cyclotomic Gaudin algebra. It is a cyclotomic generalization of the Gaudin models with irregular singularities defined in Feigin et al. (2010). 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. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

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