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Modular covariance of minimal model correlation functions
Authors:G. Felder  R. Silvotti
Affiliation:(1) School of Mathematics, Institute for Advanced Study, 08540 Princeton, NJ, USA;(2) Theoretische Physik, Universität Zürich, Schönberggasse 9, CH-8001 Zürich, Switzerland;(3) Present address: Theoretische Physik, ETH-Hönggerberg, CH-8093 Zürich, Switzerland;(4) Istituto Nazionale di Fisica Nucleare, Sezione di Pavia, Italy
Abstract:We prove that one-point functions of all scaling fields in minimal left-right diagonal models of conformal field theory are modular covariant. This consistency condition should allow one to extend these minimal models to Riemann surfaces of arbitrary genus.Supported in part by NSF grant DMS 8610730
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