The generalized multi-channel Kondo model: Thermodynamics and fusion equations

TL;DR

This paper extends the multi-channel Kondo model to SU(N) symmetry, analyzing its thermodynamics and fixed points using Bethe Ansatz and fusion equations, with insights into impurity entropy and overscreened cases.

Contribution

It introduces a generalized SU(N) multi-channel Kondo model with arbitrary impurity representations and analyzes its thermodynamics via modified fusion equations.

Findings

Characterization of IR fixed points

Description of zero-temperature entropy

Explanation of overscreened impurity behavior

Abstract

The SU(N) generalization of the multi-channel Kondo model with arbitrary rectangular impurity representations is considered by means of the Bethe Ansatz. The thermodynamics of the model is analyzed by introducing modified fusion equations for the impurity, leading to a simple description of the different IR fixed points of the theory. The entropy at zero temperature is discussed; in particular the overscreened case is explained in terms of quantum group representation.