The W3 algebra : modules, semi-infinite cohomology, and BV algebras

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 wor...

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Autors principals: Bouwknegt, P., Pilch, Krzysztof (Autor), McCarthy, Jim, 19..- (Autor)
Format: Livre numérique
Idioma:Anglais
Publicat: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Col·lecció:Lecture notes in physics. M, Monographs 42
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Edition sous un autre format:• The W3 algebra, modules, semi-infinite cohomology, and BV algebras, Peter Bouwknegt, Jim McCarthy, Krzysztof Pilch, Berlin, Springer, 1996, 1 volume (xi-204 pages), Lecture notes in physics, 3-540-61528-8
• The W3 Algebra, Texte imprimé, 9783662140918
• The W3 Algebra, Texte imprimé, 9783662140925
Descripció
Sumari: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.
Descripció de l’ítem:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540687191 (PDF)
ISSN:1619-3407
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