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Newton-Cartan supergravity

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Abstract

We construct a N = 2 supersymmetric extension of Newton-Cartan gravity by gauging a N = 2 supersymmetric extension of the Bargmann algebra. Due to technical complications we restrict the construction to the three-dimensional case. We discuss the gauge-fixing of the resulting Newton-Cartan supergravity theory to a Galilean supergravity that contains the Newton potential. An unusual feature is that, in order to realize the supersymmetry on the Newton potential, we need to introduce a dual Newton potential as well. Together, Newton potential and dual potential, they form a holomorphic function of the two spatial coordinates. We briefly discuss the four-dimensional case.

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Authors and Affiliations

  1. Centre for Theoretical Physics, University of Groningen, Nijenborgh 4, 9747 AG, Groningen, The Netherlands

    E. A. Bergshoeff

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  1. E. A. Bergshoeff
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Correspondence to E. A. Bergshoeff.

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Bergshoeff, E.A. Newton-Cartan supergravity. Phys. Part. Nuclei Lett. 11, 819–823 (2014). https://doi.org/10.1134/S1547477114070036

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  • DOI: https://doi.org/10.1134/S1547477114070036

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