The W3 Algebra

Modules, Semi-infinite Cohomology and BV Algebras

Peter Bouwknegt, Jim McCarthy, Krzysztof Pilch (Autoren)

Buch | Hardcover

XI, 204 Seiten

1996
Springer Berlin (Verlag)
978-3-540-61528-6 (ISBN)

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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.
TOC: Contents: Introduction and Preliminaries.- W-Algebras and Their Modules.- BRST Cohomology of the 4D W3 String.- Batalin-Vilkovisky Algebras.- The BV-Algebra of the W3 String.- Appendices.- References.

Reihe/Serie	Lecture Notes in Physics, New Series m
Sprache	englisch
Gewicht	386 g
Einbandart	gebunden
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
Schlagworte	HC/Physik, Astronomie/Allgemeines, Lexika • Mathematische Physik
ISBN-10	3-540-61528-8 / 3540615288
ISBN-13	978-3-540-61528-6 / 9783540615286
Zustand	Neuware