Spinorial geometry, horizons and superconformal symmetry in six dimensions

Abstract

The spinorial geometry method of solving Killing spinor equations is reviewed as it applies to 6-dimensional (1,0) supergravity. In particular, it is explained how the method is used to identify both the fractions of supersymmetry preserved by and the geometry of all supersymmetric backgrounds. Then two applications are described to systems that exhibit superconformal symmetry. The first is the proof that some 6-dimensional black hole horizons are locally isometric to $Ad{S}_3\times {\Sigma }^3$, where ${\Sigma }^3$ is diffeomeorphic to $S^3$. The second one is a description of all supersymmetric solutions of 6-dimensional (1,0) superconformal theories and in particular of their brane solitons.

51 pages, accepted for publication in CQG, additional references added

References in corpus (13)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Near-horizon symmetries of extremal black holes
• Classification of Static Charged Black Holes in Higher Dimensions
• Non-BPS Attractors in 5d and 6d Extended Supergravity
• All null supersymmetric backgrounds of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
• Supersymmetric heterotic string backgrounds
• HKT Geometry and de Sitter Supergravity
• Heterotic horizons, Monge-Ampere equation and del Pezzo surfaces
• New half supersymmetric solutions of the heterotic string
• Spinorial geometry and Killing spinor equations of 6-D supergravity
• Intersecting Attractors
• Topology of supersymmetric N=1, D=4 supergravity horizons