Anyonic Interpretation of Virasoro Characters and the Thermodynamic Bethe Ansatz

TL;DR

This paper introduces an anyonic interpretation of Virasoro characters using quantum dilogarithms and develops associated thermodynamic Bethe ansatz equations, linking conformal field theory with anyonic quasi-particles.

Contribution

It provides a novel anyonic quasi-particle framework for Virasoro characters and formulates new thermodynamic Bethe ansatz equations for minimal models.

Findings

Derived character formulae with anyonic interpretation

Proposed new thermodynamic Bethe ansatz equations

Connected Virasoro central charge with classical limits

Abstract

Employing factorized versions of characters as products of quantum dilogarithms corresponding to irreducible representations of the Virasoro algebra, we obtain character formulae which admit an anyonic quasi-particle interpretation in the context of minimal models in conformal field theories. We propose anyonic thermodynamic Bethe ansatz equations, together with their corresponding equation for the Virasoro central charge, on the base of an analysis of the classical limit for the characters and the requirement that the scattering matrices are asymptotically phaseless.