Zhu's Theorem and an algebraic characterization of conformal blocks
High Energy Physics - Theory
2007-05-23 v1
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.
Cite
@article{arxiv.hep-th/0005144,
title = {Zhu's Theorem and an algebraic characterization of conformal blocks},
author = {Andrew Neitzke},
journal= {arXiv preprint arXiv:hep-th/0005144},
year = {2007}
}
Comments
LaTeX, 20 pages, no figures. To be submitted to Comm. Math. Phys