Abstract
We explore all warped AdS4 × w M D−4 backgrounds with the most general allowed fluxes that preserve more than 16 supersymmetries in D = 10- and 11-dimensional supergravities. After imposing the assumption that either the internal space M D−4 is compact without boundary or the isometry algebra of the background decomposes into that of AdS4 and that of M D−4, we find that there are no such backgrounds in IIB supergravity. Similarly in IIA supergravity, there is a unique such background with 24 supersymmetries locally isometric to AdS4 × ℂℙ3, and in D = 11 supergravity all such backgrounds are locally isometric to the maximally supersymmetric AdS4 × S7 solution.
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Haupt, A.S., Lautz, S. & Papadopoulos, G. AdS4 backgrounds with N > 16 supersymmetries in 10 and 11 dimensions. J. High Energ. Phys. 2018, 87 (2018). https://doi.org/10.1007/JHEP01(2018)087
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DOI: https://doi.org/10.1007/JHEP01(2018)087