$D=11$ $d{S}_5$ backgrounds with enhanced supersymmetry

Abstract

We classify all warped $d{S}_5$ backgrounds in $D=11$ supergravity with enhanced supersymmetry. We show that backgrounds preserving $N=16$ supersymmetries consist of either a stack of M5 branes with transverse space ${\mathbb{R}}^5$, or a generalized M5-brane configuration with transverse space $\mathbb{R}\times N_4$, where $N_4$ is a hyper-Kahler manifold and the $M5$-brane harmonic function is determined by a hyper-Kahler potential on $N_4$. Moreover, we find that there are no backgrounds preserving exactly $N=24$ supersymmetries. Backgrounds preserving $N=32$ supersymmetries correspond to either ${\mathbb{R}}^{1,10}$ or $Ad{S}_7\times S^4$.

arXiv comment14 pages, latex

References in corpus (21)

• Supergravity description of field theories on curved manifolds and a no go theorem
• The Geometry of D=11 Killing Spinors
• Hyper-Kahler manifolds and multiply-intersecting branes
• The Geometry of D=11 Null Killing Spinors
• The spinorial geometry of supersymmetric backgrounds
• Constraining de Sitter Space in String Theory
• Systematics of M-theory spinorial geometry
• N=31, D=11
• The homogeneity theorem for supergravity backgrounds
• On four dimensional N=3 superconformal theories
• Index theory and dynamical symmetry enhancement of M-horizons
• IIB solutions with N>28 Killing spinors are maximally supersymmetric
• M-theory backgrounds with 30 Killing spinors are maximally supersymmetric
• Geometry and supersymmetry of heterotic warped flux AdS backgrounds
• Classification of IIB backgrounds with 28 supersymmetries
• Dynamical symmetry enhancement near IIA horizons
• AdS5 Backgrounds with 24 Supersymmetries
• Dynamical symmetry enhancement near massive IIA horizons
• Symmetric M-Theory Backgrounds
• Supersymmetric $d{S}_n$ solutions for $n\ge 5$ in $D=11$ supergravity
• Supersymmetric dS4 solutions in D=11 supergravity