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, 239-274.

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Description/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 $Z_2$.

Item Type: Article
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Divisions: Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Comms, Signal Processing & Control
ePrint ID: 264091
Date Deposited: 29 May 2007
Last Modified: 27 Mar 2014 20:08
Publisher: Elsevier North Holland
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/264091

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