The Null Decomposition of Conformal Algebras

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We analyze the decomposition of the enveloping algebra of the conformal algebra in arbitrary dimension with respect to the mass-squared operator. It emerges that the subalgebra that commutes with the mass-squared is generated by its Poincare subalgebra together with a vector operator. The special cases of the conformal algebras of two and three dimensions are described in detail, including the construction of their Casimir operators.
31 pages

Keywords

General Relativity and Quantum Cosmology

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/181480

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0606136
 http://arxiv.org/abs/gr-qc/0606136
 J.Math.Phys.48:053503,2007
 doi:10.1063/1.2722534

Collections

arXiv