IIB solutions with N>28 Killing spinors are maximally supersymmetric

Abstract

We show that all IIB supergravity backgrounds which admit more than 28 Killing spinors are maximally supersymmetric. In particular, we find that for all N>28 backgrounds the supercovariant curvature vanishes, and that the quotients of maximally supersymmetric backgrounds either preserve all 32 or N<29 supersymmetries.

arXiv comment27 pages

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Cited by in corpus (20)

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• Half-BPS supergravity solutions and superalgebras
• All null supersymmetric backgrounds of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
• Classification, geometry and applications of supersymmetric backgrounds
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• Index theory and dynamical symmetry enhancement near IIB horizons
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• Classification of IIB backgrounds with 28 supersymmetries
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• IIB black hole horizons with five-form flux and KT geometry
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• IIB black hole horizons with five-form flux and extended supersymmetry
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• Invariant Killing spinors in 11D and type II supergravities
• BPS preons and the AdS-M-algebra
• Supersymmetric geometries of IIA supergravity II
• Solution of heterotic Killing spinor equations and special geometry
• The Classification of Highly Supersymmetric Supergravity Solutions
• $D=11$ $d{S}_5$ backgrounds with enhanced supersymmetry