New supersymmetric AdS4 type II vacua

TL;DR

This paper derives conditions for supersymmetric AdS4 vacua in type II supergravity, constructing explicit solutions with non-zero fluxes and varying dilaton, based on Sasaki-Einstein structures.

Contribution

It provides new sufficient conditions for supersymmetric AdS4 solutions in type IIA/IIB supergravity, including explicit constructions from Sasaki-Einstein manifolds.

Findings

Constructed families of type IIA/IIB vacua from Sasaki-Einstein manifolds

All fluxes are generally non-zero, including Romans mass in IIA

Solutions feature non-constant dilaton and warp factor

Abstract

Building on our recent results on dynamic SU(3)xSU(3) structures we present a set of sufficient conditions for supersymmetric AdS4xM6 backgrounds of type IIA/IIB supergravity. These conditions ensure that the background solves, besides the supersymmetry equations, all the equations of motion of type II supergravity. The conditions state that the internal manifold is locally a codimension-one foliation such that the five dimensional leaves admit a Sasaki-Einstein structure. In type IIA the supersymmetry is N=2, and the total six-dimensional internal space is locally an S^2 bundle over a four-dimensional Kaehler-Einstein base; in IIB the internal space is the direct product of a circle and a five-dimensional squashed Sasaki-Einstein manifold. Given any five-dimensional Sasaki-Einstein manifold we construct the corresponding families of type IIA/IIB vacua. The precise profiles of all the fields are determined at the solution and depend on whether one is in IIA or in IIB. In particular the background does 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.