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arXiv · 1801.08833

Symmetry enhancement of extremal horizons in D=5 supergravity

U. Kayani
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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.

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U. Kayani. 2018-01-26. Symmetry enhancement of extremal horizons in D=5 supergravity. https://doi.org/10.1088/1361-6382%2Faac30c

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