A non-existence theorem for N>16 supersymmetric AdS3 backgrounds

Abstract

We show that there are no smooth warped AdS${}_3$ solutions in 10- and 11-dimensional supergravities which preserve strictly more than 16 supersymmetries and have internal space a compact without boundary manifold.

arXiv comment50 pages

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Cited by in corpus (10)

• Type II Solutions on AdS${}_3\times S^3\times S^3$ with Large Superconformal Symmetry
• All $\mathcal{N}=(8,0)$ AdS${}_3$ solutions in 10 and 11 dimensions
• $\mathcal{N}=(8,0)$ AdS vacua of three-dimensional supergravity
• $\mathcal{N}=(1,1)$ supersymmetric AdS${}_3$ in 10 dimensions
• On Type IIA AdS${}_3$ solutions and massive GK geometries
• New ${\text{AdS}}_2/{\text{CFT}}_1$ pairs from ${\text{AdS}}_3$ and monopole bubbling
• The conformal brane-scan: an update
• TCFHs, IIB warped AdS backgrounds and hidden symmetries
• Symmetries, a systematic construction of invariant fields and AdS backgrounds
• A uniqueness theorem for warped $N>16$ Minkowski backgrounds with fluxes