Maximally supersymmetric G-backgrounds of IIB supergravity

Abstract

We classify the geometry of all supersymmetric IIB backgrounds which admit the maximal number of $G$-invariant Killing spinors. For compact stability subgroups $G=G_2,SU(3)$ and SU(2), the spacetime is locally isometric to a product $X_n\times Y_{10-n}$ with $n=3,4,6$, where $X_n$ is a maximally supersymmetric solution of a $n$-dimensional supergravity theory and $Y_{10-n}$ is a Riemannian manifold with holonomy $G$. For non-compact stability subgroups, $G=K\ltimes\bR^8$, $K=Spin(7)$, SU(4), $Sp(2)$, $SU(2)\times SU(2)$ and $\{1\}$, the spacetime is a pp-wave propagating in an eight-dimensional manifold with holonomy $K$. We find new supersymmetric pp-wave solutions of IIB supergravity.

22 pages

References in corpus (2)

• The supersymmetric configurations of N=2, d=4 supergravity coupled to vector supermultiplets
• Supergravity vacua and lorentzian Lie groups

Cited by in corpus (7)

• Characterization of all the supersymmetric solutions of gauged N=1,d=5 supergravity
• N=31 is not IIB
• Supersymmetric solutions of gauged five-dimensional supergravity with general matter couplings
• All the timelike supersymmetric solutions of all ungauged d=4 supergravities
• Maximally Minimal Preons in Four Dimensions
• Aspects of spinorial geometry
• Invariant Killing spinors in 11D and type II supergravities