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Conformal field theories associated to regular chiral vertex operator algebras, I: Theories over the projective line
Akihiro Tsuchiya and Kiyokazu Nagatomo
Source: Duke Math. J. Volume 128, Number 3
(2005), 393-471.
Abstract
Given a chiral vertex operator algebra satisfying a suitable finiteness condition with semisimplicity of the zero-mode algebra as well as a regularity condition for induced modules, we construct conformal field theories over the projective line and prove the factorization theorem. We appropriately generalize the arguments in [TUY] so that we are able to define sheaves of conformal blocks and study them in detail.
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81T40 17B69
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1118341229
Digital Object Identifier: doi:10.1215/S0012-7094-04-12831-3
Mathematical Reviews number (MathSciNet): MR2145740
Zentralblatt MATH identifier: 1074.81065
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