Newton-Cartan Supergravity

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.

24 pages, v2 : references added

References in corpus (5)

• Newtonian Gravity and the Bargmann Algebra
• Non-relativistic conformal symmetries and Newton-Cartan structures
• `Stringy' Newton-Cartan Gravity
• Galilean Isometries
• Galilean Exotic Planar Supersymmetries and Nonrelativistic Supersymmetric Wave Equations

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