1. ODE/IQFT correspondence for the generalized affine <math> <mi>sl</mi> </math> $$ \mathfrak{sl} $$ (2) Gaudin model
- Author
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Gleb A. Kotousov and Sergei L. Lukyanov
- Subjects
High Energy Physics - Theory ,Nuclear and High Energy Physics ,Pure mathematics ,affine ,Integrable system ,Generalization ,FOS: Physical sciences ,sigma model, nonlinear ,QC770-798 ,integrability ,Conformal and W Symmetry ,Computer Science::Digital Libraries ,Bethe ansatz ,nonlinear [sigma model] ,Quantum Groups ,Quantization (physics) ,Mathematics::Quantum Algebra ,Nuclear and particle physics. Atomic energy. Radioactivity ,Mathematics - Quantum Algebra ,FOS: Mathematics ,Quantum Algebra (math.QA) ,ddc:530 ,Integrable Field Theories ,Kondo model ,Condensed Matter - Statistical Mechanics ,Mathematical Physics ,Physics ,Statistical Mechanics (cond-mat.stat-mech) ,Gaudin model ,condensed matter ,Spectrum (functional analysis) ,Ode ,Bethe Ansatz ,Mathematical Physics (math-ph) ,Hamiltonian ,High Energy Physics - Theory (hep-th) ,sigma model: nonlinear ,Computer Science::Mathematical Software ,Affine transformation ,quantization ,Yang-Baxter - Abstract
Journal of high energy physics 09(9), 201 (1-80) (2021). doi:10.1007/JHEP09(2021)201, 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 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., Published by SISSA, [Trieste]
- Published
- 2021