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"Chiral algebras form the primary algebraic structure of modern conformal field theory. Each chiral algebra lives on an algebraic curve, and in the special case where this curve is the affine line, chiral algebras invariant under translations are the same as well-known and widely used vertex algebras." "The exposition of this book covers the following topics: the "classical" counterpart of the theory, which is an algebraic theory on non-linear differential equations and their symmetries; the local aspects of the theory of chiral algebras, including the study of some basic examples, such as the chiral algebras of differential operators; and the formalism of chiral homology treating "the space of conformal blocks" of the conformal field theory, which is a "quantum" counterpart of the space of the global solutions of a differential equation." "The book will be of interest to researchers working in algebraic geometry and its applications to mathematical physics and representation theory."--BOOK JACKET.
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Previews available in: English
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Chiral Algebras (Colloquium Publications (Amer Mathematical Soc))
May 2004, American Mathematical Society
Hardcover
in English
0821835289 9780821835289
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August 11, 2024 | Edited by MARC Bot | import existing book |
December 8, 2020 | Edited by MARC Bot | import existing book |
August 18, 2010 | Edited by IdentifierBot | added LibraryThing ID |
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September 27, 2008 | Created by ImportBot | Imported from Miami University of Ohio MARC record |