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arXiv · hep-th/9304150

Virasoro Characters from Bethe Equations for the Critical Ferromagnetic Three-State Potts Model

S. Dasmahapatra·R. Kedem·B. M. McCoy·E. Melzer
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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 $S_3$ symmetry of the conformal field theory down to $Z_2$.

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S. Dasmahapatra, R. Kedem, B. M. McCoy, E. Melzer. 1993-04-29. Virasoro Characters from Bethe Equations for the Critical Ferromagnetic Three-State Potts Model. https://doi.org/10.1007/bf02186814

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