ISSN:
1572-9613
Keywords:
Three-state Potts
;
BEthe equations
;
conformal field theory
;
quasiparticles
;
affine Lie algebras
;
Virasoro characters
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We obtain new fermionic sum representations for the Virasoro characters of the conformal field theory describing the ferromagnetic three-state Potts spin chain. These arise from the fermionic quasiparticle 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 quasiparticle 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 theS 3 symmetry of the conformal field theory down toZ 2.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02186814
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