(glM,glN)-Dualities in Gaudin Models with Irregular Singularities

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Vicedo, B., Young, C.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209532
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: (glM,glN)-Dualities in Gaudin Models with Irregular Singularities / B. Vicedo, C. Young // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 36 назв. — англ.

We establish (glM,glN)-dualities between quantum Gaudin models with irregular singularities. Specifically, for any M,N ∈ Z≥1, we consider two Gaudin models: the one associated with the Lie algebra glM, which has a double pole at infinity and N poles, counting multiplicities, in the complex plane, an...