Maximally supersymmetric solutions of ten- and eleven-dimensional supergravities

Abstract

We classify (up to local isometry) the maximally supersymmetric solutions of the eleven- and ten-dimensional supergravity theories. We find that the AdS solutions, the Hpp-waves and the flat space solutions exhaust them.

24 pages

References in corpus (1)

• Strings on pp-waves and massive two dimensional field theories

Cited by in corpus (94)

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• The Geometry of D=11 Null Killing Spinors
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• Geometry of all supersymmetric type I backgrounds
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• Systematics of M-theory spinorial geometry
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• On BPS preons, generalized holonomies and D=11 supergravities
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• Systematics of IIB spinorial geometry
• On the structure of k-Lie algebras
• The holonomy of IIB supercovariant connection
• Gauged Six-Dimensional Supergravity from Warped IIB Reductions
• N=31, D=11
• All the supersymmetric configurations of N=4,d=4 supergravity
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• Supersymmetry of AdS and flat backgrounds in M-theory
• Uniqueness of Five-Dimensional Supersymmetric Black Holes
• M-theory and Gauged Supergravities
• String Theory on Parallelizable PP-Waves
• Surprises from the Resolution of Operator Mixing in N = 4 SYM
• Massive super Yang-Mills quantum mechanics: classification and the relation to supermembrane
• Classification, geometry and applications of supersymmetric backgrounds
• Curved 11D Supergeometry
• On the absence of BPS preonic solutions in IIA and IIB supergravities
• The holonomy of the supercovariant connection and Killing spinors
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• M-theory backgrounds with 30 Killing spinors are maximally supersymmetric
• Phirotopes, Super p-branes and Qubit Theory
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• Eight-manifolds with G-structure in eleven dimensional supergravity
• All Killing Superalgebras for Warped AdS Backgrounds
• The return of the four- and five-dimensional preons
• Supersymmetry of IIA warped flux AdS and flat backgrounds
• Killing Spinors for the Bosonic String and the Kaluza-Klein Theory with Scalar Potentials
• Dynamical symmetry enhancement near IIA horizons
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• Classification of IIB backgrounds with 28 supersymmetries
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• IIB backgrounds with five-form flux
• AdS5 Backgrounds with 24 Supersymmetries
• IIB black hole horizons with five-form flux and KT geometry
• Classifying Supergravity Solutions
• Semi-classical Probe Strings on Giant Gravitons Backgrounds
• Uniqueness of M-theory PP-Wave Background with Extra Supersymmetries
• Supersymmetric geometries of IIA supergravity I
• Generalized Dualities and Supergroups
• Static M-horizons
• Gauged Kaluza-Klein AdS Pseudo-supergravity
• IIB black hole horizons with five-form flux and extended supersymmetry
• M-Horizons
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• Pseudo-Killing Spinors, Pseudo-supersymmetric p-branes, Bubbling and Less-bubbling AdS Spaces
• Extensions of AdS_5 x S^5 and the Plane-wave Superalgebras and Their Realization in the Tiny Graviton Matrix Theory
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• Invariant Killing spinors in 11D and type II supergravities
• Supersymmetric geometries of IIA supergravity III
• BPS preons and the AdS-M-algebra
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• Classification of maximally supersymmetric backgrounds in supergravity theories
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