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arxiv: 1507.02335 · v2 · pith:IVYDQAOLnew · submitted 2015-07-08 · ✦ hep-th · gr-qc· math-ph· math.MP

Chern-Simons Supergravity in D=3 and Maxwell superalgebra

classification ✦ hep-th gr-qcmath-phmath.MP
keywords superalgebramaxwellchern-simonsleftmathfrakrightsupergravityabelian
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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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