Dynamical symmetry enhancement near IIA horizons
arXiv:1409.6303 · doi:10.1007/JHEP06(2015)139
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.
26 pages
References in corpus (7)
- N=31 is not IIB
- On the absence of BPS preonic solutions in IIA and IIB supergravities
- IIB solutions with N>28 Killing spinors are maximally supersymmetric
- Index theory and dynamical symmetry enhancement near IIB horizons
- Supersymmetric geometries of IIA supergravity I
- Supersymmetric geometries of IIA supergravity III
- Supersymmetric geometries of IIA supergravity II
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