Maximally supersymmetric solutions of $R^2$ supergravity

Abstract

There are five maximally supersymmetric backgrounds in four-dimensional off-shell N=1 supergravity, two of which are well known: Minkowski superspace M^{4|4} and anti-de Sitter superspace AdS^{4|4}. The three remaining supermanifolds support spacetimes of different topology, which are: R x S^3, AdS_3 x R, and a supersymmetric plane wave isometric to the Nappi-Witten group. As is well known, the Minkowski and anti-de Sitter superspaces are solutions of the Poincaré and anti-de Sitter supergravity theories, respectively. Here we demonstrate that the other three superspaces are solutions of no-scale $R^2$ supergravity. We also present a new (probably the simplest) derivation of the maximally supersymmetric backgrounds of off-shell N=1 supergravity.

10 pages

References in corpus (2)

• Embedding (R+R^2)-Inflation into Supergravity
• Killing superalgebras for Lorentzian four-manifolds

Cited by in corpus (5)

• Higher spin supercurrents in anti-de Sitter space
• Goldstino superfields in N=2 supergravity
• New nilpotent $\mathcal{N}=2$ superfields
• Goldstino superfields in supergravity
• $SU(2)$ Yang-Mills solitons in $R^2$ gravity