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19 January 2025
 
  » arxiv » hep-th/9207071

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Ward Identities for Affine-Virasoro Correlators
M.B. Halpern ; N.A. Obers ;
Date 22 Jul 1992
Journal Int. J. Mod. Phys. A9 (1994) 265-312
Subject hep-th
AbstractGeneralizing 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 ansätze, 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.
Source arXiv, hep-th/9207071
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