Construction of modular branching functions from Bethe's equations in the 3-state Potts chain

Rinat Kedem; Barry M. McCoy

doi:10.1007/BF01049953

Construction of modular branching functions from Bethe's equations in the 3-state Potts chain

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

Abstract

We use the single-particle excitation energies and the completeness rules of the 3-state antiferromagnetic Potts chain, which have been obtained from Bethe's equation, to compute the modular invariant partition function. This provides a fermionic construction for the branching functions of the D₄ representation of Z₄ parafermions which complements the bosonic constructions. It is found that there are oscillations in some of the correlations and a new connection with the field theory of the Lee-Yang edge is presented.

Original language	English (US)
Pages (from-to)	865-901
Number of pages	37
Journal	Journal of Statistical Physics
Volume	71
Issue number	5-6
DOIs	https://doi.org/10.1007/BF01049953
State	Published - Jun 1993
Externally published	Yes

Keywords

Affine Lie algebras
conformal field theory
modular invariant partition function
parafermions
quasiparticles

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Online availability

10.1007/BF01049953

Library availability

Discover UIUC Full Text

Cite this

@article{ba30b29518ea4a4e9f8921cc4ad74b56,

title = "Construction of modular branching functions from Bethe's equations in the 3-state Potts chain",

abstract = "We use the single-particle excitation energies and the completeness rules of the 3-state antiferromagnetic Potts chain, which have been obtained from Bethe's equation, to compute the modular invariant partition function. This provides a fermionic construction for the branching functions of the D4 representation of Z4 parafermions which complements the bosonic constructions. It is found that there are oscillations in some of the correlations and a new connection with the field theory of the Lee-Yang edge is presented.",

keywords = "Affine Lie algebras, conformal field theory, modular invariant partition function, parafermions, quasiparticles",

author = "Rinat Kedem and McCoy, {Barry M.}",

year = "1993",

month = jun,

doi = "10.1007/BF01049953",

language = "English (US)",

volume = "71",

pages = "865--901",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer",

number = "5-6",

}

TY - JOUR

T1 - Construction of modular branching functions from Bethe's equations in the 3-state Potts chain

AU - Kedem, Rinat

AU - McCoy, Barry M.

PY - 1993/6

Y1 - 1993/6

N2 - We use the single-particle excitation energies and the completeness rules of the 3-state antiferromagnetic Potts chain, which have been obtained from Bethe's equation, to compute the modular invariant partition function. This provides a fermionic construction for the branching functions of the D4 representation of Z4 parafermions which complements the bosonic constructions. It is found that there are oscillations in some of the correlations and a new connection with the field theory of the Lee-Yang edge is presented.

AB - We use the single-particle excitation energies and the completeness rules of the 3-state antiferromagnetic Potts chain, which have been obtained from Bethe's equation, to compute the modular invariant partition function. This provides a fermionic construction for the branching functions of the D4 representation of Z4 parafermions which complements the bosonic constructions. It is found that there are oscillations in some of the correlations and a new connection with the field theory of the Lee-Yang edge is presented.

KW - Affine Lie algebras

KW - conformal field theory

KW - modular invariant partition function

KW - parafermions

KW - quasiparticles

UR - http://www.scopus.com/inward/record.url?scp=0001545329&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001545329&partnerID=8YFLogxK

U2 - 10.1007/BF01049953

DO - 10.1007/BF01049953

M3 - Article

AN - SCOPUS:0001545329

SN - 0022-4715

VL - 71

SP - 865

EP - 901

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 5-6

ER -

Construction of modular branching functions from Bethe's equations in the 3-state Potts chain

Abstract

Keywords

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this