Dynamical symmetry enhancement near IIA horizons
High Energy Physics - Theory
2015-11-18 v1
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.
Keywords
Cite
@article{arxiv.1409.6303,
title = {Dynamical symmetry enhancement near IIA horizons},
author = {U. Gran and J. Gutowski and U. Kayani and G. Papadopoulos},
journal= {arXiv preprint arXiv:1409.6303},
year = {2015}
}
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26 pages