Newton-Cartan Supergravity

Understand

We construct a supersymmetric extension of three-dimensional Newton-Cartan gravity by gauging a super-Bargmann algebra.

• In order to obtain a non-trivial supersymmetric extension of the Bargmann algebra one needs at least two supersymmetries leading to a N=2 super-Bargmann algebra.
• Due to the fact that there is a universal Newtonian time, only one of the two supersymmetries can be gauged.
• The other supersymmetry is realized as a fermionic Stueckelberg symmetry and only survives as a global supersymmetry.