Dynamical symmetry enhancement near IIA horizons

Artikel i vetenskaplig tidskrift, 2015

We show that smooth type IIA Killing horizons with compact spatial sections preserve an even number of supersymmetries, and that the symmetry algebra of horizons with non-trivial fluxes includes an sl$$ \mathfrak{s}\mathfrak{l} $$(2, ℝ) subalgebra. This confirms the conjecture of [1] for type IIA horizons. As an intermediate step in the proof, we also demonstrate new Lichnerowicz type theorems for spin bundle connections whose holonomy is contained in a general linear group.