$\mathcal{N}=2$ resonant superalgebra for supergravity

Abstract

We present new superalgebra for $\mathcal{N}=2$ $D=3,4$ supergravity theory endowed with the $U(1)$ generator. The superalgebra is rooted in the so-called Soroka-Soroka algebra and spanned by the Lorentz $J_{ab}$ and Lorentz-like $Z_{ab}$, translation $P_a$ and $T$ generators, as well as two supercharges $Q_{\alpha }^I$. It is the only possible realization for a given generator content. We construct a corresponding 3D Chern-Simons supergravity realization of the superalgebra and discuss its relevance.

arXiv comment12 pages, to appear in Phys. Lett. B

References in corpus (33)

• Expanding Lie (super)algebras through abelian semigroups
• New supergravities with central charges and Killing spinors in 2+1 dimensions
• Maxwell Superalgebra and Superparticle in Constant Gauge Backgrounds
• Generalized cosmological term from Maxwell symmetries
• Topological gravity and transgression holography
• Semi-simple extension of the (super)Poincaré algebra
• N=1 Supergravity and Maxwell superalgebras
• Asymptotic symmetries of three-dimensional Chern-Simons gravity for the Maxwell algebra
• Pure Lovelock gravity and Chern-Simons theory
• Generalizations of Maxwell (super)algebras by the expansion method
• Deformations of Maxwell Superalgebras and Their Applications
• Minimal D=4 supergravity from the superMaxwell algebra
• Chern-Simons Supergravity in D=3 and Maxwell superalgebra
• Gauge semi-simple extension of the Poincaré group
• New family of Maxwell like algebras
• Minimal AdS-Lorentz supergravity in three-dimensions
• General properties of the expansion methods of Lie algebras
• Three-dimensional Maxwellian extended Bargmann supergravity
• $\mathcal{N}$-extended Maxwell supergravities as Chern-Simons theories in three spacetime dimensions
• AdS--Maxwell superalgebra and supergravity
• Three-dimensional non-relativistic extended supergravity with cosmological constant
• Supersymmetrization Schemes of D=4 Maxwell Algebra
• Generalized cosmological term in D=4 supergravity from a new AdS-Lorentz superalgebra
• Geometric Model of Topological Insulators from the Maxwell Algebra
• Resonant algebras and gravity
• Local Maxwell symmetry and gravity
• Deformed BF theory as a theory of gravity and supergravity
• Resonant algebras in Chern-Simons model of topological insulators
• Resonant superalgebras and $\mathcal{N}=1$ supergravity theories in three spacetime dimensions
• (2+1)-dimensional Chern-Simons bi-gravity with AdS Lie bialgebra as an interacting theory of two massless spin-2 fields
• Canonical Deformation of $N=2$ $Ad{S}_4$ SUGRA
• On the geometric approach to the boundary problem in supergravity
• Resonant superalgebras for supergravity