Virasoro constraints for D_(2n + 1−), E_6−, E_7−, E_8−type minimal models coupled to 2D gravity

Abstract

We find Virasoro constraints for D_(2n + 1−), E_6−, E_7−, E_8−type models analogous to the recently discovered Virasoro constraints for An-type models by Fukuma et al., and Dijkgraaf et al. We verify that the proposed Virasoro constraints give operator scaling dimensions identical to those found by Kostov. We check that these Virasoro constraints and, more generally, W-algebra constraints can be used to express correlation functions with non-primary operator in terms of correlation functions of primary operators only.

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