Zhu's Theorem and an algebraic characterization of conformal blocks

Details Zhu's Theorem and an algebraic characterization of conformal blocks Zhu's Theorem and an algebraic characterization of conformal blocks

2000-05-16

arxiv.org/abs/hep-th/0005144v1

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 20 pages, no figures. To be submitted to Comm. Math. Phys

Scientific paper

Working in the axiomatic framework recently proposed by Gaberdiel and Goddard, we prove a generalized version of Zhu's Theorem; for any chiral bosonic conformal field theory on the sphere, our result characterizes the chiral blocks in terms of a certain quotient of the Fock space. We also establish, under a finiteness hypothesis closely related to rationality of the theory, that the relevant Knizhnik-Zamolodchikov-type equation admits solutions.

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