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arXiv · 1509.04527

Newton-Cartan supergravity with torsion and Schr\"odinger supergravity

Eric Bergshoeff·Jan Rosseel·Thomas Zojer
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Abstract

We derive a torsionfull version of three-dimensional N=2 Newton-Cartan supergravity using a non-relativistic notion of the superconformal tensor calculus. The "superconformal" theory that we start with is Schr\"odinger supergravity which we obtain by gauging the Schr\"odinger superalgebra. We present two non-relativistic N=2 matter multiplets that can be used as compensators in the superconformal calculus. They lead to two different off-shell formulations which, in analogy with the relativistic case, we call "old minimal" and "new minimal" Newton-Cartan supergravity. We find similarities but also point out some differences with respect to the relativistic case.

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Eric Bergshoeff, Jan Rosseel, Thomas Zojer. 2015-09-15. Newton-Cartan supergravity with torsion and Schr\"odinger supergravity. https://arxiv.org/abs/1509.04527

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