The W3 Algebra - Modules, Semi-infinite Cohomology and BV Algebras (Paperback, Softcover reprint of the original 1st ed. 1996)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Physics Monographs, 42
Release date:	November 2013
First published:	1996
Authors:	Peter Bouwknegt • Jim McCarthy • Krzysztof Pilch
Dimensions:	235 x 155 x 12mm (L x W x T)
Format:	Paperback
Pages:	204
Edition:	Softcover reprint of the original 1st ed. 1996
ISBN-13:	978-3-662-14092-5
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	3-662-14092-6
Barcode:	9783662140925

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