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Modular covariance of minimal model correlation functions

1989; Springer Science+Business Media; Volume: 123; Issue: 1 Linguagem: Inglês

10.1007/bf01244015

1432-0916

Giovanni Felder, R. Silvotti,

Nonlinear Waves and Solitons

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.