ODE/IQFT correspondence for the generalized affine $\mathfrak{ sl}(2)$ Gaudin model
High Energy Physics - Theory
2021-10-13 v2 Statistical Mechanics
Mathematical Physics
math.MP
Quantum Algebra
Abstract
An integrable system is introduced, which is a generalization of the quantum affine Gaudin model. Among other things, the Hamiltonians are constructed and their spectrum is calculated within the ODE/IQFT approach. The model fits within 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.
Cite
@article{arxiv.2106.01238,
title = {ODE/IQFT correspondence for the generalized affine $\mathfrak{ sl}(2)$ Gaudin model},
author = {Gleb A. Kotousov and Sergei L. Lukyanov},
journal= {arXiv preprint arXiv:2106.01238},
year = {2021}
}
Comments
v2: 75 pages, 2 tables, 6 figures, minor typos corrected, published version