The algebraic structure of BRST operators and their applications | BRST operator theory via cohomology method

Jining Gao

ISBN 10: 3639146328 / ISBN 13: 9783639146325

Published by VDM Verlag Dr. Müller, 2009

About this Item

The algebraic structure of BRST operators and their applications | BRST operator theory via cohomology method | Jining Gao | Taschenbuch | Englisch | VDM Verlag Dr. Müller | EAN 9783639146325 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu.

Seller Inventory # 101580979

Bibliographic Details

• Title: The algebraic structure of BRST operators and their applications | BRST operator theory via cohomology method
• Publisher: VDM Verlag Dr. Müller
• Publication Date: 2009
• Language: English
• ISBN 10: 3639146328
• ISBN 13: 9783639146325
• Binding: Taschenbuch
• Condition: Neu
• Seller catalogs:
  • Bücher

About this title

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.

About the Author

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.