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.

27 pages

References in corpus (6)

• N=31 is not IIB
• N=31, D=11
• On the absence of BPS preonic solutions in IIA and IIB supergravities
• The return of the four- and five-dimensional preons
• Vanishing Preons in the Fifth Dimension
• Maximally Minimal Preons in Four Dimensions

Cited by in corpus (8)

• Half-BPS supergravity solutions and superalgebras
• All null supersymmetric backgrounds of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
• Supersymmetry of AdS and flat IIB backgrounds
• All the timelike supersymmetric solutions of all ungauged d=4 supergravities
• Invariant Killing spinors in 11D and type II supergravities
• 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