Dynamical symmetry enhancement near IIA horizons

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.

arXiv comment26 pages

References in corpus (18)

• Large N Field Theories, String Theory and Gravity
• Vacuum interpolation in supergravity via super p-branes
• On the Rigidity Theorem for Spacetimes with a Stationary Event Horizon or a Compact Cauchy Horizon
• Maximally supersymmetric solutions of ten- and eleven-dimensional supergravities
• T-duality and world-sheet supersymmetry
• Supersymmetry without Supersymmetry
• N=31 is not IIB
• IIA/IIB Supergravity and Ten-forms
• The homogeneity theorem for supergravity backgrounds
• On the absence of BPS preonic solutions in IIA and IIB supergravities
• Index theory and dynamical symmetry enhancement of M-horizons
• IIB solutions with N>28 Killing spinors are maximally supersymmetric
• Index Theory and Supersymmetry of 5D Horizons
• Index theory and dynamical symmetry enhancement near IIB horizons
• Classification of IIB backgrounds with 28 supersymmetries
• Supersymmetric geometries of IIA supergravity I
• Supersymmetric geometries of IIA supergravity III
• Supersymmetric geometries of IIA supergravity II

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