The W₃ algebra
modules, semi-infinite cohomology, and BV algebras
by P. Bouwknegt, Peter Bouwknegt, Jim McCarthy, and Krzysztof Pilch
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.
Check nearby libraries
Buy this book
Subjects
| Edition | Availability |
|---|---|
1
The W₃ algebra: modules, semi-infinite cohomology, and BV algebras
1996, Springer
in English
3540615288 9783540615286
|
aaaa
|
2
The W3 Algebra: Modules, Semi-Infinite Cohomology and Bv Algebras (Lecture Notes in Physics New Series M)
November 1996, Springer
Hardcover
in English
3540615288 9783540615286
|
zzzz
|
Book Details
Edition Notes
Includes bibliographical references (p. [197]-202).
Classifications
The Physical Object
Edition Identifiers
Work Identifiers
Source records
Community Reviews (0)
Lists