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

Dasmahapatra, Srinandan, Kedem, Rinat, McCoy, Barry and Melzer, Ezer (1994) Virasoro Characters from Bethe Equations for the Critical Ferromagnetic Three-State Potts Model Journal of Statistical Physics, 74, pp. 239-274.

Record type: Article

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.

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Published date: 1994
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 264091
URI: http://eprints.soton.ac.uk/id/eprint/264091
ISSN: 0022-4715
PURE UUID: 70430834-d4c1-4b90-8b01-2228d066e0c6

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Date deposited: 29 May 2007
Last modified: 18 Jul 2017 07:39

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Contributors

Author: Rinat Kedem
Author: Barry McCoy
Author: Ezer Melzer

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