CHIRAL DEFORMATIONS OF CONFORMAL FIELD THEORIES

摘要

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 Wit, algebra, that is treated in detail. (C) 1997 Published by Elsevier Science B.V. [References: 36]