The W3 Algebra is popular PDF and ePub book, written by Peter Bouwknegt in 2008-09-11, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, The W3 Algebra can be Read Online from any device for your convenience.
The W3 Algebra Book PDF Summary
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.
Detail Book of The W3 Algebra PDF
- Author : Peter Bouwknegt
- Release : 11 September 2008
- Publisher : Springer Science & Business Media
- ISBN : 9783540687191
- Genre : Science
- Total Page : 207 pages
- Language : English
- PDF File Size : 7,6 Mb
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