Chiral Deformations of Conformal Field Theories

  title={Chiral Deformations of Conformal Field Theories},
  author={Robbert Dijkgraaf},
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 W1+∞ algebra, that is treated in detail… CONTINUE READING

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