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SOLVING THE WARD IDENTITIES OF IRRATIONAL CONFORMAL FIELD THEORY

SOLVING THE WARD IDENTITIES OF IRRATIONAL CONFORMAL FIELD THEORY

The affine-Virasoro Ward identities are a system of nonlinear differential equations which describe the correlators of all affine-Virasoro constructions, including rational and irrational conformal field theory. We study the Ward identities in some detail, with several central results. First, we solve for the correlators of the affine-Sugawara nests, which are …