Zhu's Theorem and an algebraic characterization of conformal blocks

Andrew Neitzke

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arXiv · hep-th/0005144

Zhu's Theorem and an algebraic characterization of conformal blocks

Andrew Neitzke

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Abstract

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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Andrew Neitzke. 2000-05-16. Zhu's Theorem and an algebraic characterization of conformal blocks. https://arxiv.org/abs/hep-th/0005144

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