Timelike Killing spinors in seven dimensions

Abstract

We employ the G-structure formalism to study supersymmetric solutions of minimal and SU(2) gauged supergravities in seven dimensions admitting Killing spinors with associated timelike Killing vector. The most general such Killing spinor defines an SU(3) structure. We deduce necessary and sufficient conditions for the existence of a timelike Killing spinor on the bosonic fields of the theories, and find that such configurations generically preserve one out of sixteen supersymmetries. Using our general supersymmetric ansatz we obtain numerous new solutions, including squashed or deformed AdS solutions of the gauged theory, and a large class of Godel-like solutions with closed timelike curves.

1+33 pages. Main body contains supersymmetric ansatz and new solutions, all technical material delegated to appendix

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• All AdS_7 solutions of type II supergravity
• The supersymmetric configurations of N=2, d=4 supergravity coupled to vector supermultiplets
• All timelike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
• Characterization of all the supersymmetric solutions of gauged N=1,d=5 supergravity
• All the supersymmetric solutions of N=1,d=5 ungauged supergravity
• 3D supergravity from wrapped M5-branes
• Equal charge black holes and seven dimensional gauged supergravity
• All null supersymmetric backgrounds of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
• Refining G-structure classifications
• Geometry of four-dimensional Killing spinors
• Large superconformal near-horizons from M-theory
• Supersymmetric wrapped membranes, AdS(2) spaces, and bubbling geometries
• Supersymmetric AdS Backgrounds in String and M-theory
• Supersymmetric solutions of gauged five-dimensional supergravity with general matter couplings
• The supersymmetric solutions and extensions of ungauged matter-coupled N=1,d=4 supergravity
• Null structure groups in eleven dimensions
• The geometry of extended null supersymmetry in M-theory
• Eight-manifolds with G-structure in eleven dimensional supergravity
• On The Supersymmetric Solutions of D=3 Half-maximal Supergravities
• Higher-dimensional field theories from type II supergravity
• Spinorial Geometry and Supergravity
• Mapping the G-structures and supersymmetric vacua of five-dimensional N=4 supergravity
• On Supersymmetric Solutions of D = 4 Gauged Supergravity