Three-dimensional extended Lifshitz, Schrödinger and Newton-Hooke supergravity

Abstract

Abstract We provide a systematic analysis of three-dimensional N $$ \mathcal{N} $$ = 2 extended Bargmann superalgebra and its Newton-Hooke, Lifshitz and Schrödinger extensions. These algebras admit invariant non-degenerate bi-linear forms which we utilized to construct corresponding Chern-Simons supergravity actions.

Keywords

• Classical Theories of Gravity
• Extended Supersymmetry
• Supergravity Models