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All AdS7 solutions of type II supergravity

par Apruzzi, Fabio;Fazzi, Marco ;Rosa, Dario;Tomasiello, Alessandro
Référence The Journal of high energy physics, 2014, 4, 064
Publication Publié, 2014

Article révisé par les pairs

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Résumé :

In M-theory, the only AdS7 supersymmetric solutions are AdS 7 × S 4 and its orbifolds. In this paper, we find and classify new supersymmetric solutions of the type AdS7 × 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. © 2014 The Author(s).