New supersymmetric AdS4 type II vacua

We review the supersymmetric AdS4 ×wℳ︁6 backgrounds of type IIA/IIB supergravity constructed in [1]. In type IIA the supersymmetry is 𝒩 = 2, and the six‐dimensional internal space is locally an S2 bundle over a four‐dimensional Kähler‐Einstein base; in IIB the internal space is the direct product of a circle and a five‐dimensional squashed Sasaki‐Einstein manifold. These backgrounds do not contain any sources, all fluxes (including the Romans mass in IIA) are generally non‐zero, and the dilaton and warp factor are non‐constant. The IIA solutions include the massive deformations of the IIA reduction of the eleven‐dimensional AdS4 × Yp,q solutions, and had been predicted to exist on the basis of the AdS4/CFT3 correspondence.

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