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The W3 Algebra: Modules, Semi-Infinite Cohomology and Bv Algebras
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Publisher Springer Verlag
Publication date November 1, 1996
Pages 204
Binding Hardcover
Book category Adult Non-Fiction
ISBN-13 9783540615286
ISBN-10 3540615288
Dimensions 0.75 by 6.50 by 9.75 in.
Weight 0.85 lbs.
Availability§ Publisher Out of Stock
Published in Europe
Original list price $58.95
Other format details sci/tech
As reported by publisher description: Product Description: 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 WN gravity we show that the operator cohomology has a natural geometric model. This result suggests new directions for the study of W geometry.

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