Cyclotomic Gaudin models with irregular singularities

Benoit Vicedo; Charles Young

doi:10.1016/j.geomphys.2017.07.013

Cyclotomic Gaudin models with irregular singularities

Benoit Vicedo
, Charles Young

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

126 Downloads (Pure)

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.

Original language	English
Pages (from-to)	247-278
Journal	Journal of Geometry and Physics
Volume	121
Early online date	4 Aug 2017
DOIs	https://doi.org/10.1016/j.geomphys.2017.07.013
Publication status	Published - 1 Nov 2017

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10.1016/j.geomphys.2017.07.013

Accepted ManuscriptAccepted author manuscript, 841 KBLicence: CC BY-NC-ND

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title = "Cyclotomic Gaudin models with irregular singularities",

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.",

author = "Benoit Vicedo and Charles Young",

note = "This document is the Accepted Manuscript version of the following article: Benoit Vicedo, and Charles Young, {\textquoteleft}Cyclotomic Gaudin models with irregular singularities{\textquoteright}, Journal of Geometry and Physics, Vol. 121: 247-278, November 2017. Under embargo until 4 August 2018. The final, definitive version is available online at doi: https://doi.org/10.1016/j.geomphys.2017.07.013.",

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journal = "Journal of Geometry and Physics",

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AU - Vicedo, Benoit

AU - Young, Charles

N1 - This document is the Accepted Manuscript version of the following article: Benoit Vicedo, and Charles Young, ‘Cyclotomic Gaudin models with irregular singularities’, Journal of Geometry and Physics, Vol. 121: 247-278, November 2017. Under embargo until 4 August 2018. The final, definitive version is available online at doi: https://doi.org/10.1016/j.geomphys.2017.07.013.

PY - 2017/11/1

Y1 - 2017/11/1

N2 - 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.

AB - 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.

U2 - 10.1016/j.geomphys.2017.07.013

DO - 10.1016/j.geomphys.2017.07.013

M3 - Article

SN - 0393-0440

VL - 121

SP - 247

EP - 278

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

ER -

Cyclotomic Gaudin models with irregular singularities

Abstract

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