Journal of High Energy Physics (Sep 2021)

ODE/IQFT correspondence for the generalized affine sl $$ \mathfrak{sl} $$ (2) Gaudin model

  • Gleb A. Kotousov,
  • Sergei L. Lukyanov

DOI
https://doi.org/10.1007/JHEP09(2021)201
Journal volume & issue
Vol. 2021, no. 9
pp. 1 – 82

Abstract

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Abstract An integrable system is introduced, which is a generalization of the sl $$ \mathfrak{sl} $$ (2) quantum affine Gaudin model. Among other things, the Hamiltonians are constructed and their spectrum is calculated using the ODE/IQFT approach. The model fits into the framework of Yang-Baxter integrability. This opens a way for the systematic quantization of a large class of integrable non-linear sigma models. There may also be some interest in terms of Condensed Matter applications, as the theory can be thought of as a multiparametric generalization of the Kondo model.

Keywords