On supersymmetric AdS6 solutions in 10 and 11 dimensions

Abstract

We prove a non-existence theorem for smooth, supersymmetric, warped AdS6 solutions with connected, compact without boundary internal space in D=11 and (massive) IIA supergravities. In IIB supergravity we show that if such AdS6 solutions exist, then the NSNS and RR 3-form fluxes must be linearly independent and certain spinor bi-linears must be appropriately restricted. Moreover we demonstrate that the internal space admits an so(3) action which leaves all the fields invariant and for smooth solutions the principal orbits must have co-dimension two. We also describe the topology and geometry of internal spaces that admit such a so(3) action and show that there are no solutions for which the internal space has topology F * S^2, where F is an oriented surface.

26 pages, latex

References in corpus (4)

• AdS_6 solutions of type II supergravity
• Supersymmetry of AdS and flat backgrounds in M-theory
• Supersymmetry of AdS and flat IIB backgrounds
• On supersymmetric Anti-de-Sitter, de-Sitter and Minkowski flux backgrounds

Cited by in corpus (10)

• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity II: Global solutions and five-brane webs
• $Ad{S}_6$ T-duals and Type IIB $Ad{S}_6\times S^2$ Geometries with 7-Branes
• All Killing Superalgebras for Warped AdS Backgrounds
• A non-existence theorem for N>16 supersymmetric AdS3 backgrounds
• Supersymmetric AdS backgrounds and weak generalised holonomy
• Relating AdS${}_6$ solutions in type IIB supergravity
• AdS${}_6$ T-duals and AdS${}_6\times S^2$ geometries in Type IIB
• The TCFHs of D=11 AdS backgrounds and hidden symmetries
• TCFHs and hidden symmetries of type IIA AdS backgrounds
• Symmetries, a systematic construction of invariant fields and AdS backgrounds