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  • © 1996

The W3 Algebra

Modules, Semi-infinite Cohomology and BV Algebras

Part of the book series: Lecture Notes in Physics Monographs (LNPMGR, volume 42)

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  • ISBN: 978-3-540-68719-1
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Table of contents (5 chapters)

  1. Front Matter

    Pages I-XI
  2. Back Matter

    Pages 149-204

About this book

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. They provide the underlying symmetry algebra of certain string generalizations which allow the extended world sheet gravity. This book presents such gravity theories, concentrating on the algebra of physical operators determined from an analysis of the corresponding BRST cohomology. It develops the representation theory of W algebras needed to extend the standard techniques which were so successful in treating linear algebras. For certain strings corresponding to WN gravity we show that the operator cohomology has a natural geometric model. This result suggests new directions for the study of W geometry.

Keywords

  • Virasaro algebra
  • W*-geometry
  • algebra
  • cohomology
  • field
  • geometry
  • gravity
  • lie algebra
  • linear algebra
  • quantum gravity
  • representation theory

Authors and Affiliations

  • Department of Physics and Mathematical Physics, University of Adelaide, Adelaide, Australia

    Peter Bouwknegt, Jim McCarthy

  • Department of Physics and Astronomy, University of Southern California, Los Angeles, USA

    Krzysztof Pilch

Bibliographic Information

  • Book Title: The W3 Algebra

  • Book Subtitle: Modules, Semi-infinite Cohomology and BV Algebras

  • Authors: Peter Bouwknegt, Jim McCarthy, Krzysztof Pilch

  • Series Title: Lecture Notes in Physics Monographs

  • DOI: https://doi.org/10.1007/978-3-540-68719-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1996

  • Softcover ISBN: 978-3-662-14092-5

  • eBook ISBN: 978-3-540-68719-1

  • Series ISSN: 0940-7677

  • Edition Number: 1

  • Number of Pages: XI, 204

  • Topics: Theoretical, Mathematical and Computational Physics, Algebra

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • ISBN: 978-3-540-68719-1
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 109.00
Price excludes VAT (USA)