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Extended $D=3$ Bargmann supergravity from a Lie algebra expansion

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arxiv 1904.12786 v2 pith:L4YXC2N5 submitted 2019-04-29 hep-th gr-qcmath-phmath.MP

classification hep-thgr-qcmath-phmath.MP
keywords algebrabargmannchern-simonsextendedsupergravityactionassociatedcorresponding
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abstract

In this paper we show how the method of Lie algebra expansions may be used to obtain, in a simple way, both the extended Bargmann Lie superalgebra and the Chern-Simons action associated to it in three dimensions, starting from $D=3$, $\mathcal{N}=2$ superPoincar\'e and its corresponding Chern-Simons supergravity.

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