q-Identities for parafermion theories

Peter Bouwknegt; Shane Chern; Bolin Han

doi:10.1088/1751-8121/ad8f07

q-Identities for parafermion theories

Peter Bouwknegt, Shane Chern, Bolin Han^*

^*Corresponding author for this work

Mathematical Sciences Institute

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	505201
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	57
Issue number	50
DOIs	https://doi.org/10.1088/1751-8121/ad8f07
Publication status	Published - 13 Dec 2024

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title = "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 {\textquoteleft}coupled free fermions.{\textquoteright} 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.",

keywords = "conformal field theories, generalised Rogers-Ramanujan identities, Kac-Moody algebras, parafermion theories, root lattices, string functions, universal chiral partition functions",

author = "Peter Bouwknegt and Shane Chern and Bolin Han",

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AU - Chern, Shane

AU - Han, Bolin

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N2 - 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.

AB - 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.

KW - conformal field theories

KW - generalised Rogers-Ramanujan identities

KW - Kac-Moody algebras

KW - parafermion theories

KW - root lattices

KW - string functions

KW - universal chiral partition functions

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DO - 10.1088/1751-8121/ad8f07

M3 - Article

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VL - 57

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 50

M1 - 505201

ER -

q-Identities for parafermion theories

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