English

Frobenius-like structure in Gaudin model

Quantum Algebra 2022-01-11 v1 Algebraic Geometry Representation Theory

Abstract

We introduce a Frobenius-like structure for the sl2\frak{sl}_2 Gaudin model. Namely, we introduce potential functions of the first and second kind. We describe the Shapovalov form in terms of derivatives of the potential of the first kind and the action of Gaudin Hamiltonians in terms of derivatives of the potential of the second kind.

Keywords

Cite

@article{arxiv.2201.03087,
  title  = {Frobenius-like structure in Gaudin model},
  author = {Evgeny Mukhin and Alexander Varchenko},
  journal= {arXiv preprint arXiv:2201.03087},
  year   = {2022}
}

Comments

Latex, 14 pages

R2 v1 2026-06-24T08:44:18.136Z