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Notes on 2D conformal field theory and string theory. (English) Zbl 1170.81429
Deligne, Pierre (ed.) et al., Quantum fields and strings: a course for mathematicians. Vol. 1, 2. Material from the Special Year on Quantum Field Theory held at the Institute for Advanced Study, Princeton, NJ, 1996–1997. Providence, RI: AMS, American Mathematical Society (ISBN 0-8218-1987-9/vol.1; 0-8218-1988-7/vol.2; 0-8218-1198-3/set). 1017-1089 (1999).
Summary: We explain the basics of conformal theory using the language of chiral algebras of Beilinson and Drinfeld.
For the entire collection see [Zbl 0984.00503].

MSC:
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
17B69 Vertex operators; vertex operator algebras and related structures
81-02 Research exposition (monographs, survey articles) pertaining to quantum theory
81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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