15 June 2005 Conformal field theories associated to regular chiral vertex operator algebras, I: Theories over the projective line
Kiyokazu Nagatomo, Akihiro Tsuchiya
Duke Math. J. 128(3): 393-471 (15 June 2005). DOI: 10.1215/S0012-7094-04-12831-3

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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Kiyokazu Nagatomo. Akihiro Tsuchiya. "Conformal field theories associated to regular chiral vertex operator algebras, I: Theories over the projective line." Duke Math. J. 128 (3) 393 - 471, 15 June 2005. https://doi.org/10.1215/S0012-7094-04-12831-3

Information

Published: 15 June 2005
First available in Project Euclid: 9 June 2005

zbMATH: 1074.81065
MathSciNet: MR2145740
Digital Object Identifier: 10.1215/S0012-7094-04-12831-3

Subjects:
Primary: 81T40 17B69

Rights: Copyright © 2005 Duke University Press

Vol.128 • No. 3 • 15 June 2005
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