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Chern-Simons Supergravity in D=3 and Maxwell superalgebra (1507.02335v2)

Published 8 Jul 2015 in hep-th, gr-qc, math-ph, and math.MP

Abstract: We present the construction of the $D=3$ Chern-Simons supergravity action without cosmological constant from the minimal Maxwell superalgebra $s\mathcal{M}_{3}$. This superalgebra contains two Majorana fermionic charges and can be obtained from the $\mathfrak{osp}\left( 2|1\right) \otimes\mathfrak{sp}\left( 2\right) $ superalgebra using the abelian semigroup expansion procedure. The components of the Maxwell invariant tensor are explicitly derived.

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