Symmetry enhancement of extremal horizons in D=5 supergravity

Abstract

We consider the near-horizon geometry of supersymmetric extremal black holes in un-gauaged and gauged 5-dimensional supergravity, coupled to abelian vector multiplets. By analyzing the global properties of the Killing spinors, we prove that the near-horizon geometries undergo a supersymmetry enhancement. This follows from a set of generalized Lichnerowicz-type theorems we establish, together with an index theory argument. As a consequence, these solutions always admit a $\mathfrak{sl}(2,\mathbb{R})$ symmetry group.

29 pages, latex

References in corpus (9)

• Superrotation Charge and Supertranslation Hair on Black Holes
• A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• Supersymmetric multi-charge AdS_5 black holes
• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• Near-horizon geometries of supersymmetric AdS(5) black holes
• Symmetries at the black hole horizon
• Comments on Black Holes in Bubbling Spacetimes
• The return of the four- and five-dimensional preons

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