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Journal of Physics A Mathematical and General

Operator content of n-state quantum chains in the c=1 region

G von Gehlen, V. Rittenberg, Gunter Markus Schutz

Published Jun 21, 1988• 14 citations
Publisher

Abstract

The authors conjecture the operator content for n-state quantum chains (n>or=5) in the domains of the coupling constants where the central charge of the Virasoro algebra is equal to one. Free boundary conditions as well as boundary conditions compatible with the torus are considered. The conjectured operator content is compared with finite-size scaling estimates.

DOI
10.1088/0305-4470/21/12/022

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The authors conjecture the operator content for n-state quantum chains (n>or=5) in the domains of the coupling constants where the central charge of the Virasoro algebra is equal to one. Free boundary conditions as well as boundary conditions compatible with the torus are considered. The conjectured operator content is compared with finite-size scaling estimates.
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Based on numerical analysis, the authors conjecture the operator content of the finite-size limit of the spectra of the Ashkin-Teller model with free boundary conditions. The same operator content is obtained from a Hamiltonian with a four-fermion interaction and a U(1) Kac-Moody Sugawara structure. For some special values of the coupling constant the model exhibits N=2 superconformal and Zamolodchikov-Fateev invariance. The operator content in these cases is expressed in terms of irreducible representations of the corresponding algebras.