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.

Download

[img] PDF
Download (309Kb)

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
Related URLs:
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
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/264091

Actions (login required)

View Item View Item

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics