An edition of The W₃ algebra (1996)
The W3 Algebra
Modules, Semi-Infinite Cohomology and Bv Algebras (Lecture Notes in Physics New Series M)
By P. Bouwknegt,Peter Bouwknegt,Jim McCarthy,Krzysztof Pilch
Publish Date
November 1996
Publisher
Springer
Language
eng
Pages
204
Description:
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.