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Item Details
| Title:
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THE W3 ALGEBRA
MODULES, SEMI-INFINITE COHOMOLOGY AND BV ALGEBRAS |
| By: |
Peter Bouwknegt, Jim McCarthy, Krzysztof Pilch |
| Format: |
Hardback |
| List price:
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£72.00 |
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We believe that this item is permanently unavailable, and so we cannot source
it.
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| ISBN 10: |
3540615288 |
| ISBN 13: |
9783540615286 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
28 August, 1996 |
| Series: |
Lecture Notes in Physics Monographs 42 |
| Pages: |
215 |
| 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. This book explores W algebras with relation to gravity theories. |
| Synopsis: |
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. |
| Illustrations: |
biography |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Non-returnable |
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