The algebraic structure of BRST operators and their applications: BRST operator theory via cohomology method - Couverture souple

Gao, Jining

 
9783639146325: The algebraic structure of BRST operators and their applications: BRST operator theory via cohomology method
Couverture souple
ISBN 10 : 3639146328 ISBN 13 : 9783639146325
Editeur : VDM Verlag, 2009

Synopsis

This book has three related but distinct parts. In the first part of the book, we construct a new sequence of generators of the BRST complex and reformulate the BRST differential so that it acts on elements of the complex much like the Maurer-Cartan differential acts on left- invariant forms. In particular, for an important class of physical theories, we show that in fact the differential is a Chevalley-Eilenberg differential. In the second part of the book, we isolate a new concept which we call the chain extension of a $D$- algebra. We demonstrate that this idea is central to to a number of applications to algebra and physics. Chain extensions may be regarded as generalizations of ordinary algebraic extensions of Lie algebras. Applications of our theory provide a new constructive approach to BRST theories which only contains three terms. Finally, we show that a similar development provides a method by which Lie algebra deformations may be encoded into the structure maps of an sh-Lie algebra with three terms.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This book has three related but distinct parts. In the first part of the book, we construct a new sequence of generators of the BRST complex and reformulate the BRST differential so that it acts on elements of the complex much like the Maurer-Cartan differential acts on left- invariant forms. In particular, for an important class of physical theories, we show that in fact the differential is a Chevalley-Eilenberg differential. In the second part of the book, we isolate a new concept which we call the chain extension of a $D$- algebra. We demonstrate that this idea is central to to a number of applications to algebra and physics. Chain extensions may be regarded as generalizations of ordinary algebraic extensions of Lie algebras. Applications of our theory provide a new constructive approach to BRST theories which only contains three terms. Finally, we show that a similar development provides a method by which Lie algebra deformations may be encoded into the structure maps of an sh-Lie algebra with three terms.

Biographie de l'auteur

Jining Gao got his Ph. D in 2005 under the direction of professor R. Fulp at North Carolina State University . His major research focuses on cohomology physics, quantum deformation theory, Mirror symmetry.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
VDM Verlag
Date d'édition
2009
Langue
anglais
ISBN 10 
3639146328
ISBN 13 
9783639146325
Reliure
Broché
Nombre de pages
68
Coordonnées du fabricant
non disponible
Personne responsable
non disponible