TY - JOUR
T1 - Cyclotomic Gaudin models with irregular singularities
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 -