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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The W3 Algebra: Modules, Semi-Infinite Cohomology and Bv Algebras

The W3 Algebra: Modules, Semi-Infinite Cohomology and Bv Algebras

Bouwknegt, Peter
McCarthy, Jim
Pilch, Krzysztof

Paperback

Series: Lecture Notes in Physics Monographs, Book 42

AlgebraPhysics

ISBN10: 3662140926
ISBN13: 9783662140925
Publisher: Springer Nature
Published: Nov 13 2013
Pages: 204
Weight: 0.69
Height: 0.46 Width: 6.14 Depth: 9.21
Language: English
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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