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arXiv · 2106.01238

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

Gleb A. Kotousov·Sergei L. Lukyanov
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Abstract

An integrable system is introduced, which is a generalization of the $\mathfrak{sl}(2)$ 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.

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Gleb A. Kotousov, Sergei L. Lukyanov. 2021-06-02. ODE/IQFT correspondence for the generalized affine $\mathfrak{ sl}(2)$ Gaudin model. https://doi.org/10.1007/jhep09(2021)201

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