The W3 Algebra
Bouwknegt, Peter.
The W3 Algebra Modules, Semi-infinite Cohomology and BV Algebras / [electronic resource] : by Peter Bouwknegt, Jim McCarthy, Krzysztof Pilch. - XI, 204 p. online resource. - Lecture Notes in Physics Monographs, 42 0940-7677 ; . - Lecture Notes in Physics Monographs, 42 .
and Preliminaries -- W Algebras and Their Modules -- BRST Cohomology of the 4D W3 String -- Batalin-Vilkovisky Algebras -- The BV Algebra of the W3 String.
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.
9783540687191
10.1007/978-3-540-68719-1 doi
Algebra.
Theoretical, Mathematical and Computational Physics.
Algebra.
QC19.2-20.85
530.1
The W3 Algebra Modules, Semi-infinite Cohomology and BV Algebras / [electronic resource] : by Peter Bouwknegt, Jim McCarthy, Krzysztof Pilch. - XI, 204 p. online resource. - Lecture Notes in Physics Monographs, 42 0940-7677 ; . - Lecture Notes in Physics Monographs, 42 .
and Preliminaries -- W Algebras and Their Modules -- BRST Cohomology of the 4D W3 String -- Batalin-Vilkovisky Algebras -- The BV Algebra of the W3 String.
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.
9783540687191
10.1007/978-3-540-68719-1 doi
Algebra.
Theoretical, Mathematical and Computational Physics.
Algebra.
QC19.2-20.85
530.1