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arXiv · 1309.2949

All AdS_7 solutions of type II supergravity

Fabio Apruzzi·Marco Fazzi·Dario Rosa·Alessandro Tomasiello
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Abstract

In M-theory, the only AdS_7 supersymmetric solutions are AdS_7 x S^4 and its orbifolds. In this paper, we find and classify new supersymmetric solutions of the type AdS_7 x M_3 in type II supergravity. While in IIB none exist, in IIA with Romans mass (which does not lift to M-theory) there are many new ones. We use a pure spinor approach reminiscent of generalized complex geometry. Without the need for any Ansatz, the system determines uniquely the form of the metric and fluxes, up to solving a system of ODEs. Namely, the metric on M_3 is that of an S^2 fibered over an interval; this is consistent with the Sp(1) R-symmetry of the holographically dual (1,0) theory. By including D8 brane sources, one can numerically obtain regular solutions, where topologically M_3 = S^3.

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Fabio Apruzzi, Marco Fazzi, Dario Rosa, Alessandro Tomasiello. 2014-02-22. All AdS_7 solutions of type II supergravity. https://doi.org/10.1007/jhep04(2014)064

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