(p,q) D=3 Poincare supergravities from Lie algebra expansions
High Energy Physics - Theory
2015-05-28 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We use the expansion of superalgebras procedure (summarized in the text) to derive Chern-Simons (CS) actions for the (p,q)-Poincare supergravities in three-dimensional spacetime. After deriving the action for the (p,0)-Poincare supergravity as a CS theory for the expansion osp(p|2;R)(2,1) of osp(p|2;R), we find the general (p,q)-Poincare superalgebras and their associated D=3 supergravity actions as CS gauge theories from an expansion of the simple osp(p+q|2,R) superalgebras, namely osp(p+q|2,R)(2,1,2).
Keywords
Cite
@article{arxiv.1107.2569,
title = {(p,q) D=3 Poincare supergravities from Lie algebra expansions},
author = {Jose A. de Azcarraga and Jose M. Izquierdo},
journal= {arXiv preprint arXiv:1107.2569},
year = {2015}
}
Comments
v2: two references added, 17 pages. To appear in NPB