Extended D = 3 Bargmann supergravity from a Lie algebra expansion

Abstract

In this paper we show how the method of Lie algebra expansions may be used to obtain, in a simple way, both the extended Bargmann Lie superalgebra and the Chern-Simons action associated to it in three dimensions, starting from D = 3, N = 2 superPoincaré and its corresponding Chern-Simons supergravity.