Kniha W3 Algebra Peter Bouwknegt

W3 Algebra

Modules, Semi-infinite Cohomology and BV Algebras

Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: Skladem u dodavatele
Odesíláme za 8-11 dnů
1 147
W algebras are nonlinear generalizations of Lie algebras that arise in the context of two-dimensiona...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2013
Stránek
204
EAN
9783662140925
ISBN
3662140926
Enbook ID
02256943
Hmotnost
343
Rozměry
155 x 235 x 13

Kompletní popis

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 W N gravity we show that the operator cohomology has a natural geometric model. This result suggests new directions for the study of W geometry.

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