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 \( \mathfrak{s}\mathfrak{l} \)(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.
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ArXiv ePrint: 1409.6303
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Gran, U., Gutowski, J., Kayani, U. et al. Dynamical symmetry enhancement near IIA horizons. J. High Energ. Phys. 2015, 139 (2015). https://doi.org/10.1007/JHEP06(2015)139
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DOI: https://doi.org/10.1007/JHEP06(2015)139