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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§ Out of Print
Published in Europe
Original list price $99.00
Other format details sci/tech
As reported by publisher description: Product Description: The study of W algebras began in 1985 in the context of two-dimensional conf- mal field theories, the aim being to explore higher-spin extensions of the Virasoro algebra. Given the simultaneous growth in the understanding of two-dimensional metric gravity inspired by analyses of string models, it was inevitable that these algebras would be applied to give analogues of putative higher-spin gravity t- ories. This book is an exposition of the past few years of our work on such an application for the algebra: in particular, the BRST quantization of the n- critical 4D string. We calculate the physical spectrum as a problem in BRST cohomology. The corresponding operator cohomology forms a BV algebra, for which we provide a geometrical model. The algebra has one further generator, of spin three, in addition to the (spin two) energy-momentum tensor which generates the Virasoro algebra. C- trary to the Virasoro algebra, it is an algebra defined by nonlinear relations. In deriving our understanding of the resulting gravity theories we have had to - velop a number of results on the representation theory of W algebras, to replace the standard techniques that were so successful in treating linear algebras.

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