Supersymmetric geometries of IIA supergravity III

Abstract

We find that (massive) IIA backgrounds that admit a $G_2⋉{\mathbb{R}}^8$ invariant Killing spinor must exhibit a null Killing vector field which leaves the Killing spinor invariant and that the rotation of the Killing vector field satisfies a certain ${\mathfrak{g}}_2$ instanton condition. This result together with those in [4] and [5] complete the classification of geometries of all (massive) IIA backgrounds that preserve one supersymmetry. We also explore the geometry of a class of backgrounds which admit a $G_2⋉{\mathbb{R}}^8$ invariant Killing spinor and where in addition an appropriate 1-form bilinear vanishes. In all cases, we express the fluxes of the theory in terms of the geometry.

arXiv comment27 pages

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Cited by in corpus (5)

• Classification, geometry and applications of supersymmetric backgrounds
• Dynamical symmetry enhancement near IIA horizons
• AdS4 backgrounds with N>16 supersymmetries in 10 and 11 dimensions
• TCFHs, hidden symmetries and type II theories
• Dynamical supersymmetry enhancement of black hole horizons