Ward Identities for Affine-Virasoro Correlators

Details Ward Identities for Affine-Virasoro Correlators Ward Identities for Affine-Virasoro Correlators

1992-07-22

arxiv.org/abs/hep-th/9207071v1

Int.J.Mod.Phys.A9:265-312,1994

Physics

High Energy Physics

High Energy Physics - Theory

53 pages, Latex, LBL-32619, UCB-PTH-92/24, BONN-HE-92/21

Scientific paper

10.1142/S0217751X94000133

Generalizing the Knizhnik-Zamolodchikov equations, we derive a hierarchy of non-linear Ward identities for affine-Virasoro correlators. The hierarchy follows from null states of the Knizhnik-Zamolodchikov type and the assumption of factorization, whose consistency we verify at an abstract level. Solution of the equations requires concrete factorization ans\"atze, which may vary over affine-Virasoro space. As a first example, we solve the non-linear equations for the coset constructions, using a matrix factorization. The resulting coset correlators satisfy first-order linear partial differential equations whose solutions are the coset blocks defined by Douglas.

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