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N=1 Supergravity and Maxwell superalgebras

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arxiv 1407.4635 v3 pith:V47655BK submitted 2014-07-17 hep-th

classification hep-th
keywords maxwellmathcalsuperalgebrasupergravityactionminimalsuperalgebrasabelian
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-Lorentzian Supergravity and Kinematical Superalgebras

    hep-th 2024-12 conditional novelty 7.0 of 10

    Supersymmetric extensions of extended kinematical algebras are classified via semigroup expansion, and non-degenerate Chern-Simons supergravity actions are constructed in three dimensions.

  2. Asymptotic structure of three-dimensional Maxwell Chern-Simons gravity coupled to spin-3 fields

    hep-th 2024-12 conditional novelty 5.0 of 10

    The asymptotic symmetry algebra of three-dimensional Maxwell Chern-Simons gravity with spin-3 fields is a new nonlinear algebra, hs3max-bms3, which is also obtained as the flat limit of three copies of the W3 algebra.

  3. 3D Carrollian gravity from 2D Euclidean symmetry

    hep-th 2024-12 conditional novelty 4.0 of 10

    Post-Carroll-Newtonian Chern-Simons gravities are systematically obtained by semigroup-expanding 2D Euclidean B_k algebras, recovering known Carrollian models as subcases.

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