The W3 Algebra : Modules, Semi-infinite Cohomology and BV Algebras Paperback / softback
by Peter Bouwknegt, Jim McCarthy, Krzysztof Pilch
Part of the Lecture Notes in Physics Monographs series
Paperback / softback
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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Item not Available
- Format:Paperback / softback
- Pages:204 pages, XI, 204 p.
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication Date:16/07/2013
- Category:
- ISBN:9783662140925
Other Formats
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Information
-
Item not Available
- Format:Paperback / softback
- Pages:204 pages, XI, 204 p.
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication Date:16/07/2013
- Category:
- ISBN:9783662140925
