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

Abstract

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

53 pages. v2: minor changes and references added. v3: typos corrected and minor footnote added, published version

References in corpus (4)

• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• Supersymmetry of AdS and flat backgrounds in M-theory
• Supersymmetry of AdS and flat IIB backgrounds
• All symmetric AdS(n>2) solutions of type II supergravity

Cited by in corpus (7)

• Classification, geometry and applications of supersymmetric backgrounds
• All Killing Superalgebras for Warped AdS Backgrounds
• A non-existence theorem for N>16 supersymmetric AdS3 backgrounds
• 1/3 BPS loops and defect CFTs in ABJM theory
• Mink${}_3\times S^3$ solutions of type II supergravity
• The conformal brane-scan: an update
• A uniqueness theorem for warped $N>16$ Minkowski backgrounds with fluxes