Abstract
We present the construction of the D = 4 supergravity action from the minimal Maxwell superalgebra sℳ4, which can be derived from the \( \mathfrak{osp}\ \left(4\Big|1\right) \) superalgebra by applying the abelian semigroup expansion procedure. We show that N = 1, D = 4 pure supergravity can be obtained alternatively as the MacDowell-Mansouri like action built from the curvatures of the Maxwell superalgebra sℳ4. We extend this result to all minimal Maxwell superalgebras type sℳ m + 2. The invariance under supersymmetry transformations is also analized.
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ArXiv ePrint: 1407.4635v2
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Concha, P.K., Rodríguez, E.K. N=1 supergravity and Maxwell superalgebras. J. High Energ. Phys. 2014, 90 (2014). https://doi.org/10.1007/JHEP09(2014)090
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DOI: https://doi.org/10.1007/JHEP09(2014)090