Chiral deformations of conformal field theories

We study general perturbations of two-dimensional conformal field theories by holomorphic fields. It is shown that the genus one partition function is controlled by a contact term (pre-Lie) algebra given in terms of the operator product expansion. These models have applications to vertex operator al...

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Bibliographic Details
Published in:Nuclear physics. B 1997-06, Vol.493 (3), p.588-612
Main Author: Dijkgraaf, Robbert
Format: Article
Language:English
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Summary:We study general perturbations of two-dimensional conformal field theories by holomorphic fields. It is shown that the genus one partition function is controlled by a contact term (pre-Lie) algebra given in terms of the operator product expansion. These models have applications to vertex operator algebras, two-dimensional QCD, topological strings, holomorphic anomaly equations and modular properties of generalized characters of chiral algebras such as the W 1+∞ algebra, that is treated in detail.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(97)00153-3