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The W3 Algebra

The W3 Algebra


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International Edition


About the Book

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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Product Details
  • ISBN-13: 9783662140925
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Edition: Softcover reprint of the original 1st ed. 1996
  • Language: English
  • Returnable: N
  • Spine Width: 12 mm
  • Weight: 363 gr
  • ISBN-10: 3662140926
  • Publisher Date: 13 Nov 2013
  • Binding: Paperback
  • Height: 234 mm
  • No of Pages: 204
  • Series Title: Lecture Notes in Physics Monographs
  • Sub Title: Modules, Semi-Infinite Cohomology and Bv Algebras
  • Width: 156 mm


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