Virasoro characters from Bethe equations for the critical ferromagnetic three-state Potts model
- High Energy Physics, Trieste (Italy)
- Institute for Theoretical Physics, Stony Brook, NY (United States)
The authors obtain new fermionic sum representation for the Virasoro characters of the conformal field theory describing the ferromagnetic three-state Potts spin chain. These arise from the fermionic quasiparticle excitation 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 [open quotes]ghost[close quotes] 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)[sup +] which breaks the S[sub 3] symmetry of the conformal field theory down to Z[sub 2].
- OSTI ID:
- 7270557
- Journal Information:
- Journal of Statistical Physics; (United States), Vol. 74:1-2; ISSN 0022-4715
- Country of Publication:
- United States
- Language:
- English
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