Chiral deformations of conformal field theories

1996/09/02 by Robbert Dijkgraaf, R. Dijkgraaf · 4 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #hep-th

paper · pdf · doi:10.1016/s0550-3213(97)00153-3

published as Nucl.Phys. B493 (1997) 588-612 · 28 pages, latex

arxiv created 1996/09/02 · openalex publication_date 1997/06/01 · arxiv updated 2009/11/30 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• The String Partition Function for QCD on the Torus

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