Characters in Conformal Field Theories from Thermodynamic Bethe Ansatz
A.Kuniba, T.Nakanishi, J.Suzuki
TL;DR
This paper introduces a new $q$-series formula for parafermion conformal field theory characters derived from thermodynamic Bethe ansatz analysis, applicable to arbitrary affine Lie algebras.
Contribution
It presents a novel $q$-series formula for characters of parafermion CFTs based on TBA methods, extending previous results to general affine Lie algebras.
Findings
Derived a new $q$-series formula for parafermion characters
Connected the formula to thermodynamic Bethe ansatz with chemical potentials
Applicable to arbitrary non-twisted affine Lie algebras
Abstract
We propose a new -series formula for a character of parafermion conformal field theories associated to arbitrary non-twisted affine Lie algebra . We show its natural origin from a thermodynamic Bethe ansatz analysis including chemical potentials.
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