Maximally Minimal Preons in Four Dimensions

Abstract

Killing spinors of N=2, D=4 supergravity are examined using the spinorial geometry method, in which spinors are written as differential forms. By making use of methods developed in hep-th/0606049 to analyze preons in type IIB supergravity, we show that there are no simply connected solutions preserving exactly 3/4 of the supersymmetry.

18 pages. References added, comments added discussing the possibility of discrete quotients of AdS(4) preserving 3/4 supersymmetry.

References in corpus (28)

• The Large N Limit of Superconformal Field Theories and Supergravity
• All supersymmetric solutions of minimal supergravity in five dimensions
• General supersymmetric AdS5 black holes
• Supersymmetric AdS5 black holes
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• Adding momentum to D1-D5 system
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• Anti-De Sitter BPS Black Holes in N=2 Gauged Supergravity
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• N=31 is not IIB
• On BPS preons, generalized holonomies and D=11 supergravities
• N=31, D=11
• Magnetic and Dyonic Black Holes in D=4 Gauged Supergravity
• On the absence of BPS preonic solutions in IIA and IIB supergravities
• M-theory preons cannot arise by quotients
• Implications of bulk causality for holography in AdS
• N=2 Superconformal boundary states for free bosons and fermions
• Maximally supersymmetric G-backgrounds of IIB supergravity
• Vanishing Preons in the Fifth Dimension

Cited by in corpus (14)

• All timelike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
• N=31, D=11
• Supersymmetric solutions to gauged N=2 d=4 sugra: the full timelike shebang
• All null supersymmetric backgrounds of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
• Geometry of four-dimensional Killing spinors
• Classification, geometry and applications of supersymmetric backgrounds
• IIB solutions with N>28 Killing spinors are maximally supersymmetric
• Solutions of Minimal Four Dimensional de Sitter Supergravity
• Phantom Metrics With Killing Spinors
• Phantom Space-times in Fake Supergravity
• Para-Complex Geometry and Gravitational Instantons
• Solutions of D=4 Gauged Pseudo-Supergravity
• Flow Equations In Arbitrary Signature
• The Classification of Highly Supersymmetric Supergravity Solutions