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.
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 $Z_2$.
|Divisions:||Faculty of Physical and Applied Science > Electronics and Computer Science > Comms, Signal Processing & Control
|Date Deposited:||29 May 2007|
|Last Modified:||02 Mar 2012 13:00|
|Contributors:||Dasmahapatra, Srinandan (Author)
Kedem, Rinat (Author)
McCoy, Barry (Author)
Melzer, Ezer (Author)
|Publisher:||Elsevier North Holland|
|Further Information:||Google Scholar|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
Actions (login required)