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

Rinat Kedem, Barry M. McCoy

Research output: Contribution to journalArticle


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 languageEnglish (US)
Pages (from-to)865-901
Number of pages37
JournalJournal of Statistical Physics
Issue number5-6
StatePublished - Jun 1 1993
Externally publishedYes



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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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