All AdS_7 solutions of type II supergravity

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.

45 pages, 4 figures. v2: solution with single D8 added; references added; minor corrections

References in corpus (5)

• Reformulating Supersymmetry with a Generalized Dolbeault Operator
• Massive type IIA string theory cannot be strongly coupled
• Generalized Kaehler Potentials from Supergravity
• Curvature-induced Resolution of Anti-brane Singularities
• Generalized geometry, calibrations and supersymmetry in diverse dimensions

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