AdS_4 compactifications of AdS_7 solutions in type II supergravity

Abstract

We find new classes of AdS_4 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 AdS_7 x M_3 solutions in massive IIA; we replace the AdS_7 by AdS_4 x Sigma_3, and we fibre M_3 over Sigma_3 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 AdS_7 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) CFT_6's dual to the AdS_7 solutions. The larger system of five ODEs also admits more general numerical solutions, again with localized branes; regularity is achieved via an attractor mechanism.

arXiv comment47 pages

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• An $\mathcal{N}=3$ Solution in Dyonic ISO(7) Gauged Maximal Supergravity and Its Uplift to Massive Type IIA
• A $\mathcal{N}=2$ Supersymmetric $Ad{S}_4$ Solution in M-theory with Purely Magnetic Flux
• Evidence for the Holographic dual of $\mathcal{N}=3$ Solution in Massive Type IIA
• D-branes and non-Abelian T-duality
• Observables in the Guarino-Jafferis-Varela/CS-SYM duality
• Supersymmetric AdS backgrounds and weak generalised holonomy
• Fermionic T-duality in massive type IIA supergravity on AdS_{10-k} x M_k