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arXiv · 1305.6737

Newton-Cartan Supergravity

Roel Andringa·Eric A. Bergshoeff·Jan Rosseel·Ergin Sezgin
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Abstract

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.

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Roel Andringa, Eric A. Bergshoeff, Jan Rosseel, Ergin Sezgin. 2013-06-19. Newton-Cartan Supergravity. https://doi.org/10.1088/0264-9381%2F30%2F20%2F205005

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