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.

arXiv comment22 pages

References in corpus (24)

• All supersymmetric solutions of minimal supergravity in five dimensions
• Penrose limits and maximal supersymmetry
• A new maximally supersymmetric background of IIB superstring theory
• All supersymmetric solutions of minimal supergravity in six dimensions
• Penrose limits, supergravity and brane dynamics
• Hartle-Hawking Wave-Function for Flux Compactifications
• Maximally supersymmetric solutions of ten- and eleven-dimensional supergravities
• The spinorial geometry of supersymmetric backgrounds
• Ricci-flat Metrics, Harmonic Forms and Brane Resolutions
• The supersymmetric configurations of N=2, d=4 supergravity coupled to vector supermultiplets
• pp-waves in 11-dimensions with extra supersymmetry
• Breaking the M-waves
• The spinorial geometry of supersymmetric heterotic string backgrounds
• The spinorial geometry of supersymmetric IIB backgrounds
• Penrose Limits, PP-Waves and Deformed M2-branes
• Pluecker-type relations for orthogonal planes
• The G_2 spinorial geometry of supersymmetric IIB backgrounds
• M-theory PP-waves, Penrose Limits and Supernumerary Supersymmetries
• Supergravity pp-wave solutions with 28 and 24 supercharges
• Systematics of IIB spinorial geometry
• Supergravity vacua and lorentzian Lie groups
• Quotients of anti-de Sitter space
• Rotating Rotated Branes
• Generalized Holonomy of Supergravities with 8 Real Supercharges

Cited by in corpus (14)

• 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
• IIB supergravity on manifolds with SU(4) structure and generalized geometry
• All the timelike supersymmetric solutions of all ungauged d=4 supergravities
• Half-Supersymmetric Solutions in Five-Dimensional Supergravity
• The supersymmetric solutions and extensions of ungauged matter-coupled N=1,d=4 supergravity
• Solutions of Minimal Four Dimensional de Sitter Supergravity
• Maximally Minimal Preons in Four Dimensions
• Aspects of spinorial geometry
• Invariant Killing spinors in 11D and type II supergravities
• Enhanced Horizons
• Isometries of Half Supersymmetric Time-Like Solutions In Five Dimensions
• Classification of supersymmetric backgrounds of string theory