2013/05/31 by Roel Andringa, Eric A. Bergshoeff, Jan Rosseel +1 · 1 citation
Physics and Astronomy · #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/30/20/205005
24 pages, v2 : references added
arxiv created 2013/06/19 · arxiv updated 2015/06/16
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. We explicitly show how, in the frame of a Galilean observer, the system reduces to a supersymmetric extension of the Newton potential. The corresponding supersymmetry rules can only be defined, provided we also introduce a `dual Newton potential'. We comment on the four-dimensional case.