All AdS_7 solutions of type II supergravity

TL;DR

This paper classifies new supersymmetric AdS_7 solutions in type II supergravity, revealing solutions in IIA with Romans mass and D8 branes, expanding the known landscape beyond M-theory's AdS_7 solutions.

Contribution

It provides a systematic classification of AdS_7 x M_3 solutions in type II supergravity, especially in IIA with Romans mass, using a pure spinor approach without ansatz.

Findings

New AdS_7 solutions in IIA with Romans mass

Solutions with M_3 as S^2 fibered over an interval

Numerical regular solutions with M_3 topologically S^3

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.