Maximally supersymmetric G-backgrounds of IIB supergravity

TL;DR

This paper classifies all maximally supersymmetric G-backgrounds in IIB supergravity, revealing geometric structures and discovering new supersymmetric pp-wave solutions.

Contribution

It provides a comprehensive classification of all such backgrounds, including new solutions, based on the stability subgroup G and the geometry of the spacetime.

Findings

Spacetimes are products of maximally supersymmetric solutions and Riemannian manifolds with holonomy G.

Non-compact G leads to pp-wave solutions with specific holonomy.

New supersymmetric pp-wave solutions of IIB supergravity are identified.

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.