ODE/IQFT correspondence for the generalized affine $ \mathfrak{sl} $(2) Gaudin model
Gleb A. Kotousov, Sergei L. Lukyanov
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.
Topics & Concepts
PhysicsIntegrable systemAffine transformationGeneralizationOdeMathematical physicsQuantization (signal processing)Sigma modelQuantumTheoretical physicsClass (philosophy)Pure mathematicsQuantum mechanicsApplied mathematicsNonlinear systemMathematicsMathematical analysisPhilosophyEpistemologyStatisticsAlgebraic structures and combinatorial modelsNonlinear Waves and SolitonsBlack Holes and Theoretical Physics