Virasoro characters from bethe equations for the critical ferromagnetic three-state potts model

Srinandan Dasmahapatra, Rinat Kedem, Barry M. McCoy, Ezer Melzer

Research output: Contribution to journalArticle


We obtain new fermionic sum representations for the Virasoro characters of the conformal field theory describing the ferromagnetic three-state Potts spin chain. These arise from the fermionic quasiparticle excitations derived from the Bethe equations for the eigenvalues of the Hamiltonian. In the conformal scaling limit, the Bethe equations provide a description of the spectrum in terms of one genuine quasiparticle and two "ghost" excitations with a limited microscopic momentum range. This description is reflected in the structure of the character formulas, and suggests a connection with the integrable perturbation of dimensions (2/3, 2/3)+ which breaks the S3 symmetry of the conformal field theory down to Z2.

Original languageEnglish (US)
Pages (from-to)239-274
Number of pages36
JournalJournal of Statistical Physics
Issue number1-2
StatePublished - Jan 1 1994
Externally publishedYes



  • BEthe equations
  • Three-state Potts
  • Virasoro characters
  • affine Lie algebras
  • conformal field theory
  • quasiparticles

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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