q-Identities for parafermion theories

Abstract In this paper, we will prove a series of q -identities suggested by the realisation of certain conformal field theories involving the 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.

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Publication Details

Journal
Journal of Physics A Mathematical and Theoretical
Published
2024-11-05
DOI
https://doi.org/10.1088/1751-8121/ad8f07
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
article
Field-Weighted Citation Impact
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article

q-Identities for parafermion theories

Peter Bouwknegt, Shane Chern, B.-Y. Han
Journal of Physics A Mathematical and Theoretical
Quantum Chromodynamics and Particle Interactions
article

q-Identities for parafermion theories

Peter Bouwknegt, Shane Chern, B.-Y. Han
article en

Abstract

Abstract In this paper, we will prove a series of q -identities suggested by the realisation of certain conformal field theories involving the 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.

Journal of Physics A Mathematical and TheoreticalVol. 57(50)
Australian National University (AU), University of Vienna (AT), Dalhousie University (CA), Australian Mathematical Sciences Institute (AU)
Openalex Percentile: Top 95%
Quantum Chromodynamics and Particle Interactions
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