D=3 (p, q)-Poincare supergravities from Lie algebra expansions

作者：de Azcarraga J A^*; Izquierdo J M

来源：Nuclear Physics B, 2012, 854(1): 276-291.

DOI：10.1016/j.nuclphysb.2011.08.020

We use the expansion of superalgebras procedure (summarized in the text) to derive Chem-Simons (CS) actions for the (p, q)-Poincare supergravities in three-dimensional spacetimes. After deriving the action for the (p, 0)-Poincare supergravity as a CS theory for the expansion osp(p vertical bar 2: R)(2, 1) of osp(p vertical bar 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 vertical bar 2, R) superalgebras, namely osp(p + q vertical bar 2, R)(2, 1, 2).

• 出版日期2012-1-1