Chiral deformations of conformal field theories
1997; Elsevier BV; Volume: 493; Issue: 3 Linguagem: Inglês
10.1016/s0550-3213(97)00153-3
ISSN1873-1562
Autores Tópico(s)Advanced Algebra and Geometry
ResumoWe 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.
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