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Minimal models on Riemann surfaces

1989; Elsevier BV; Volume: 228; Issue: 2 Linguagem: Inglês

10.1016/0370-2693(89)90660-6

1873-2445

M. Frau, A. Lerda, J.G. McCarthy, S. Sciuto,

Quantum many-body systems

We extend the Coulomb gas representation of minimal model correlation functions to higher genius Riemann surfaces. Specifically, we incorporate the “BRS” structure of this representation into the operator formalism. This allows traces over the spectrum of a minimal model to be computed from traces over Fock spaces of a free scalar field. This our results are obtained by standard sewing techniques. The formulation is general, but we present here in particular the two-loop characters of the Ising model.