Maximally supersymmetric G-backgrounds of IIB supergravity

Details Maximally supersymmetric G-backgrounds of IIB supergravity Maximally supersymmetric G-backgrounds of IIB supergravity

2006-04-11

arxiv.org/abs/hep-th/0604079v1

Nucl.Phys.B753:118-138,2006

Physics

High Energy Physics

High Energy Physics - Theory

22 pages

Scientific paper

10.1016/j.nuclphysb.2006.07.007

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.

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