Maximally supersymmetric solutions of R2 supergravity

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    © 2016 American Physical Society. There are five maximally supersymmetric backgrounds in four-dimensional off-shell N=1 supergravity, two of which are well known: Minkowski superspace M4|4 and anti-de Sitter superspace AdS4|4. The three remaining supermanifolds support spacetimes of different topology, which are R×S3, AdS3×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 pure R2 supergravity. We also present a new (probably the simplest) derivation of the maximally supersymmetric backgrounds of off-shell N=1 supergravity.
    Original languageEnglish
    Pages (from-to)065014-1 - 065014-6
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Issue number6
    Publication statusPublished - 12 Sep 2016

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