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arXiv · 1903.03081

$\mathcal{N}$-extended Maxwell supergravities as Chern-Simons theories in three spacetime dimensions

Patrick Concha
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Abstract

We present a new class of three-dimensional $\mathcal{N}$-extended supergravity theories based on the $\mathcal{N}$-extended Maxwell superalgebra with central charges and $\mathfrak{so}(\mathcal{N})$ internal symmetry generators. The presence of $\mathfrak{so}(\mathcal{N})$ generators is required in order to define a non-degenerate invariant inner product. Such symmetry allows us to construct an alternative supergravity action without cosmological constant term. Interestingly, the new theories can be obtained as a flat limit of a $\mathcal{N}$-extended AdS-Lorentz supergravity theories enlarged with $\mathfrak{so}(\mathcal{N})$ gauge fields.

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Patrick Concha. 2019-03-07. $\mathcal{N}$-extended Maxwell supergravities as Chern-Simons theories in three spacetime dimensions. https://doi.org/10.1016/j.physletb.2019.03.060

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