Dynamical symmetry enhancement near massive IIA horizons

preprint2014arXivOpen access

Abstract

We prove that Killing horizons in massive IIA supergravity preserve an even number of supersymmetries, and that their symmetry algebra contains an sl(2,R)\mathfrak{sl}(2, R) subalgebra, confirming the conjecture of [5]. We also prove a new class of Lichnerowicz type theorems for connections of the spin bundle whose holonomy is contained in a general linear group.

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