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

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.

v2: 75 pages, 2 tables, 6 figures, minor typos corrected, published version

References in corpus (3)

• Assembling integrable sigma-models as affine Gaudin models
• Notes on parafermionic QFT's with boundary interaction
• Spectrum of the reflection operators in different integrable structures