A generalized action for (2+1)-dimensional Chern-Simons gravity

被引：52

作者：

Diaz, J. ^{[1
]}

Fierro, O. ^{[2
]}

Izaurieta, F. ^{[3
]}

Merino, N. ^{[2
,4
]}

Rodriguez, E. ^{[3
]}

Salgado, P. ^{[2
]}

Valdivia, O. ^{[2
]}

机构：

[1] Univ Arturo Prat, Dept Fis & Matemat, Iquique, Chile

[2] Univ Concepcion, Dept Fis, Concepcion, Chile

[3] Univ Santisima Concepcion, Dept Matemat & Fis Aplicadas, Concepcion, Chile

[4] Politecn Torino, Dipartimento Fis, I-10129 Turin, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 25期

关键词：

DIMENSIONS;

D O I：

10.1088/1751-8113/45/25/255207

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the so-called semi-simple extended Poincare (SSEP) algebra in D dimensions can be obtained from the anti-de Sitter algebra so (D - 1, 2) by means of the S-expansion procedure with an appropriate semigroup S. A general prescription is given for computing Casimir operators for S-expanded algebras, and the method is exemplified for the SSEP algebra. The S-expansion method also allows us to extract the corresponding invariant tensor for the SSEP algebra, which is a key ingredient in the construction of a generalized action for Chern-Simons gravity in (2 + 1) dimensions.

引用

页数：14

共 11 条

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