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Three-dimensional Maxwellian extended Bargmann supergravity

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arxiv 1912.09477 v2 pith:RXJJJY3Y submitted 2019-12-19 hep-th

classification hep-th
keywords bargmannextendedsupergravitymaxwelliannon-relativisticthree-dimensionalactionadditional
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a novel three-dimensional non-relativistic Chern-Simons supergravity theory invariant under a Maxwellian extended Bargmann superalgebra. We first study the non-relativistic limits of the minimal and the $\mathcal{N}=2$ Maxwell superalgebras. We show that a well-defined Maxwellian extended Bargmann supergravity requires to construct by hand a supersymmetric extension of the Maxwellian extended Bargmann algebra by introducing additional fermionic and bosonic generators. The new non-relativistic supergravity action presented here contains the extended Bargmann supergravity as a sub-case.

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