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arXiv · 1711.08280

AdS4 backgrounds with N>16 supersymmetries in 10 and 11 dimensions

A. S. Haupt·S. Lautz·G. Papadopoulos
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Abstract

We explore all warped $AdS_4\times_w M^{D-4}$ 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 AdS$_4$ 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 $AdS_4\times \mathbb{CP}^3$, and in $D=11$ supergravity all such backgrounds are locally isometric to the maximally supersymmetric $AdS_4\times S^7$ solution.

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A. S. Haupt, S. Lautz, G. Papadopoulos. 2017-11-22. AdS4 backgrounds with N>16 supersymmetries in 10 and 11 dimensions. https://doi.org/10.1007/jhep01(2018)087

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