A uniqueness theorem for warped $N>16$ Minkowski backgrounds with fluxes

Abstract

We demonstrate that warped Minkowski space backgrounds, ${\mathbb{R}}^{n-1,1}{\times }_w{M}^{d-n}$, $n\ge 3$, that preserve strictly more than 16 supersymmetries in $d=11$ and type II $d=10$ supergravities and with fields which may not be smooth everywhere are locally isometric to the ${\mathbb{R}}^{d-1,1}$ Minkowski vacuum. In particular, all such flux compactification vacua of these theories have the same local geometry as the maximally supersymmetric vacuum ${\mathbb{R}}^{n-1,1}\times T^{d-n}$.

arXiv comment7 pages

References in corpus (9)

• Supergravity description of field theories on curved manifolds and a no go theorem
• Supersymmetry of Rotating Branes
• On the supersymmetries of anti de Sitter vacua
• Supersymmetry of AdS and flat backgrounds in M-theory
• The homogeneity theorem for supergravity backgrounds
• Supersymmetry of AdS and flat IIB backgrounds
• Symmetric backgrounds of type IIB supergravity
• A non-existence theorem for N>16 supersymmetric AdS3 backgrounds
• AdS4 backgrounds with N>16 supersymmetries in 10 and 11 dimensions