Abstract
We demonstrate that warped Minkowski space backgrounds, Rn−1,1×wMd−n, n≥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 Rd−1,1 Minkowski vacuum. In particular, all such flux compactification vacua of these theories have the same local geometry as the maximally supersymmetric vacuum Rn−1,1×Td−n.
Highlights
We demonstrate that warped Minkowski space backgrounds, Rn−1,1 ×w Md−n, n ≥ 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 Rd−1,1 Minkowski vacuum
We demonstrate that all warped Rn−1,1 ×w Md−n, n ≥ 3, solutions with fluxes of d = 11, IIA d = 10 and IIB d = 10 supergravities that preserve N > 16 supersymmetries are locally isometric to the Rd−1,1 maximally supersymmetric vacuum of these theories
A consequence of this is that all N > 16 flux compactification vacua, Rn−1,1 ×w Md−n, of these theories are locally isometric to the maximally supersymmetric toroidal vacuum Rn−1,1 × T d−n
Summary
We demonstrate that warped Minkowski space backgrounds, Rn−1,1 ×w Md−n, n ≥ 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 Rd−1,1 Minkowski vacuum. We extend this result to include all warped Rn−1,1 ×w Md−n backgrounds of these theories. We demonstrate that all warped Rn−1,1 ×w Md−n, n ≥ 3, solutions with fluxes of d = 11, IIA d = 10 and IIB d = 10 supergravities that preserve N > 16 supersymmetries are locally isometric to the Rd−1,1 maximally supersymmetric vacuum of these theories.
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