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

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

1993-04-29

arxiv.org/abs/hep-th/9304150v1

J.Statist.Phys. 74 (1994) 239

Physics

High Energy Physics

High Energy Physics - Theory

36 pages in LaTeX, ITP-SB-93-17

Scientific paper

10.1007/BF02186814

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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