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

1993/04/29 by S. Dasmahapatra, Srinandan Dasmahapatra, R. Kedem +5 · 3 citations
Mathematics · Physics and Astronomy · #Algorithm #Chiral Potts curve #Condensed matter physics #Ferromagnetism #Ising model #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Potts model #Quantum many-body systems #State (computer science) #Statistical physics #Theoretical and Computational Physics #hep-th

paper · pdf · doi:10.1007/bf02186814

published as J.Statist.Phys. 74 (1994) 239 · 36 pages in LaTeX, ITP-SB-93-17

arxiv created 1993/04/29 · openalex publication_date 1994/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We obtain new fermionic sum representations for the Virasoro characters of the confromal field theory describing the ferromagnetic three-state Potts spin chain. These arise from the fermionic quasi-particle 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 quasi-particle, 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.

Citations

• Thermodynamics of the 3-state Potts Spin chain

Cited by

• Multinomials and polynomial bosonic forms for the branching functions of the (2) x (2)/(2) conformal coset models
• On thermodynamic approaches to conformal field theory
• Exclusion statistics in conformal field theory and the UCPF for WZW models