q-Identities for parafermion theories

2024/03/06 by Bouwknegt, Peter, Chern, Shane, Han, Bolin
#FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2403.03464

Abstract

In this paper we will prove a series of q-identities suggested by the realisation of certain conformal field theories by so-called `coupled free fermions'. We will consider q-series arising from coupled free fermions constructed by the parafermion coset construction as well as from scaled root lattices, and some interesting relations between the two.

Related

• Coupled free fermion conformal field theories
• Characters of graded parafermion conformal field theory
• Identities between Quantum Field Theories in Different Dimensions
• The W_k structure of the Z_k^(3/2) models
• Ribbon tableaux and q-analogues of fusion rules in WZW conformal field theories