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Book synopsis

W algebras are nonlinear generalizations of Lie algebras that arise in the context of two-dimensional conformal field theories when one explores higher-spin extensions of the Virasoro algebra. They provide the underlying symmetry algebra of certain string generalizations which allow the extended world sheet gravity. This book presents such gravity theories, concentrating on the algebra of physical operators determined from an analysis of the corresponding BRST cohomology. It develops the representation theory of W algebras needed to extend the standard techniques which were so successful in treating linear algebras. For certain strings corresponding to W N gravity we show that the operator cohomology has a natural geometric model. This result suggests new directions for the study of W geometry.

Book details

Book category Books in English Mathematics & science Mathematics Algebra

• Full title: W3 Algebra
• Subtitle: Modules, Semi-infinite Cohomology and BV Algebras
• Author: Peter Bouwknegt, Jim McCarthy, Krzysztof Pilch
• Language: English
• Binding: Paperback
• Number of pages: 204
• EAN: 9783662140925
• ISBN: 3662140926
• ID: 02256943
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Weight: 343 g
• Dimensions: 235 × 155 × 13 mm
• Date of publishing: 16. July 2013

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