# N=1 Supergravity and Maxwell superalgebras

Source: [N=1 Supergravity and Maxwell superalgebras](<https://www.sota2.com/research/paper/68fa2da61e209131ce85b182>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T03:24:05.390Z

Authors: P.K. Concha, E.K. Rodr\\'iguez

Published: 2014-07-17T11:15:58.000Z

## Abstract

We present the construction of the $D=4$ supergravity action from the minimal Maxwell superalgebra $s\\mathcal{M}\_{4}$, which can be derived from the $\\mathfrak{osp}\\left( 4\|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 $s\\mathcal{M}\_{4}$. We extend this result to all minimal Maxwell superalgebras type $s\\mathcal{M}\_{m+2}$. The invariance under supersymmetry transformations is also analized.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1407.4635>)

[PDF](<https://arxiv.org/pdf/1407.4635.pdf>)