Lorentzian symmetric spaces in supergravity

Abstract

I will discuss the emergence of lorentzian symmetric spaces as supersymmetric supergravity backgrounds. I will focus on supergravity theories in dimension 11, 10, and 6, and will concentrate on the determination of the so-called maximally supersymmetric backgrounds, for which a classification exists up to local isometry. A special class of lorentzian symmetric spaces also plays a role in the determination of parallelisable supergravity backgrounds in type II supergravity, which I will also summarise. (To appear in the proceedings of the programme "Geometry of pseudo-riemannian manifolds with application to physics", hosted by the Erwin Schroedinger International Institute for Mathematical Physics.)

38 pages

Cited by in corpus (9)

• Pohlmeyer reduction revisited
• Killing superalgebras for Lorentzian four-manifolds
• Naturally reductive pseudo-Riemannian spaces
• Killing superalgebras for Lorentzian six-manifolds
• A family of non-restricted $D=11$ geometric supersymmetries
• Connections on Cahen-Wallach spaces
• Decomposable $(5,6)$-solutions in eleven-dimensional supergravity
• On causal properties of symmetric Lorentzian spaces
• Isometric actions on pseudo-Riemannian nilmanifolds