Dynamical symmetry enhancement near massive IIA horizons

TL;DR

This paper proves that Killing horizons in massive IIA supergravity preserve an even number of supersymmetries and contain an (2,R) symmetry algebra, confirming a previous conjecture and introducing new Lichnerowicz type theorems.

Contribution

It establishes supersymmetry preservation and symmetry algebra structure of horizons in massive IIA supergravity, and proves new Lichnerowicz type theorems for spin bundle connections.

Findings

Killing horizons preserve an even number of supersymmetries

Symmetry algebra contains an (2,R) subalgebra

New Lichnerowicz type theorems for connections with holonomy in GL(n)

Abstract

We prove that Killing horizons in massive IIA supergravity preserve an even number of supersymmetries, and that their symmetry algebra contains an $\mathfrak{sl}(2, R)$ 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.