AdS4 compactifications of AdS7 solutions in type II supergravity

Abstract

Abstract: We find new classes of AdS4 solutions with localized branes and orientifolds, both analytic and numerical. We start with an Ansatz for the pure spinors inspired by a recently found class of AdS7 × M3 solutions in massive IIA; we replace the AdS7 by AdS4 × Σ3, and we fibre M3 over Σ3 in a way inspired by a field theory SU(2) twist. We are able to reduce the problem to a system of five ODEs; a further Ansatz reduces them to three. Their solutions can be bijectively mapped to the AdS7 solutions via a simple universal map. This also allows to find a simple analytic form for these solutions. They are naturally interpreted as twisted compactifications of the (1, 0) CFT6’s dual to the AdS7 solutions. The larger system of five ODEs also admits more general numerical solutions, again with localized branes; regularity is achieved via an attractor mechanism.