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

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.

V2, 16 pages, reference added, accepted version in Physics Letters B

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Cited by in corpus (11)

• AdS Carroll Chern-Simons supergravity in 2+1 dimensions and its flat limit
• Non-Relativistic Gravity Theory based on an Enlargement of the Extended Bargmann Algebra
• N-extended Chern-Simons Carrollian supergravities in 2+1 spacetime dimensions
• Three-dimensional non-relativistic supergravity and torsion
• Generalized cosmological constant from gauging Maxwell-conformal algebra
• Hypersymmetric extensions of Maxwell Chern-Simons gravity in (2+1) dimensions
• Resonant superalgebras and $\mathcal{N}=1$ supergravity theories in three spacetime dimensions
• Deformation of Asymptotic Symmetry Algebras and Their Physical Realizations
• Asymptotic structure of three-dimensional Maxwell Chern-Simons gravity coupled to spin-3 fields
• Three-dimensional non-relativistic Hietarinta supergravity
• Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant