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arXiv · 1409.6303

Dynamical symmetry enhancement near IIA horizons

U. Gran·J. Gutowski·U. Kayani·G. Papadopoulos
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Abstract

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(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.

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U. Gran, J. Gutowski, U. Kayani, G. Papadopoulos. 2014-09-22. Dynamical symmetry enhancement near IIA horizons. https://doi.org/10.1007/jhep06(2015)139

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