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Nuclear Physics B

Higher symmetries in the spin-one Zamolodchikov-Fateev hamiltonian with a finite number of sites and toroidal boundary conditions. Spectra and operator content of N = 1 superconformal systems

D. Baranowski, V. Rittenberg, Gunter Markus Schutz

Published Feb 1, 1992• 3 citations
Publisher
DOI
10.1016/0550-3213(92)90423-9

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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.