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q-Identities for parafermion theories

High Energy Physics - Theory 2024-05-29 v2 Mathematical Physics math.MP Number Theory

Abstract

In this paper we will prove a series of qq-identities suggested by the realisation of certain conformal field theories by so-called `coupled free fermions'. We will consider qq-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.

Cite

@article{arxiv.2403.03464,
  title  = {q-Identities for parafermion theories},
  author = {Peter Bouwknegt and Shane Chern and Bolin Han},
  journal= {arXiv preprint arXiv:2403.03464},
  year   = {2024}
}
R2 v1 2026-06-28T15:10:36.554Z