AdS4 compactifications of AdS7 solutions in type II supergravity

Abstract:We use non-Abelian T-duality to construct new N = 1 solutions of type IIA supergravity (and their M-theory lifts) that interpolate between AdS 5 geometries. We initiate a study of the holographic interpretation of these backgrounds as RG flows between conformal fixed points. Along the way we give an elegant formulation of non-Abelian Tduality when acting on a wide class of backgrounds, including those corresponding to such flows, in terms of their SU(2) structure.

Section: Jhep11(2015)212supporting

confidence: 76%

Holographic flows in non-Abelian T-dual geometries

Macpherson

Núñez

Thompson

et al. 2015

“…The class we selected in this paper was also partially inspired by the AdS4 solutions in [22]; in that paper, however, the doublet on S 2 is paired up with a doublet on a factor Σ3 of the internal M6. In that case the R-symmetry is absent in the AdS4 solution, because the solutions are N = 1.…”

Section: Jhep09(2017)126mentioning

confidence: 99%

“…While this phenomenon has been known for a long time, it has become clearer in recent times that the local metrics thus naturally chosen by supersymmetry often tend to have automatically the correct behaviors one would expect from O-planes and D-branes. For example, AdS 7 solutions naturally allow for localized O6-sources [21], and the same is true for their AdS 4 cousins obtained by twisted compactification [22]. Since, as we mentioned, O-planes are essential for Minkowski compactifications, it feels natural to apply to them as well this "identity structure" approach.…”

Section: Jhep09(2017)126mentioning

confidence: 99%

Minimal flux Minkowski classification

Macpherson

Tomasiello

2017

Self Cite

We classify Minkowski 4 solutions in type IIA supergravity, with N = 2 supersymmetry and an SU(2) R-symmetry of a certain type. Many subcases can be reduced to relatively simple PDEs, among which we recover various intersecting brane systems, and AdS d solutions, d = 5, 6, 7, and in particular the recently found general massive AdS 7 solutions. Imposing compactness of the internal six-manifold we obtain promising solutions with localized D-branes and O-planes.

“…17 In [1] it was imposed that at the poles of S 3 the metric be either regular or have the asymptotics corresponding to D6-brane sources. Under the correspondence between NS5-D6(-O6)-D8(-O8) brane configurations and AdS 7 vacua we explained in the previous 15 Notice that, once we construct a general AdS7 vacuum of massive IIA, we can easily obtain AdS5 and AdS4 ones from it by applying the one-to-correspondences in [67,68]. It is also possible to construct a nonsupersymmetric AdS7 vacuum following the construction in [69].…”

Section: Constructing Generic Solutions With Zmentioning

confidence: 92%

AdS7/CFT6 with orientifolds

Apruzzi

Fazzi

2018

AdS 7 solutions of massive type IIA have been classified, and are dual to a large class of six-dimensional (1, 0) SCFT's whose tensor branch deformations are described by linear quivers of SU groups. Quivers and AdS vacua depend solely on the group theory data of the NS5-D6-D8 brane configurations engineering the field theories. This has allowed for a direct holographic match of their a conformal anomaly. In this paper we extend the match to cases where O6 and O8-planes are present, thereby introducing SO and USp groups in the quivers. In all of them we show that the a anomaly computed in supergravity agrees with the holographic limit of the exact field theory result, which we extract from the anomaly polynomial. As a byproduct we construct special AdS 7 vacua dual to nonperturbative F-theory configurations. Finally, we propose a holographic a-theorem for six-dimensional Higgs branch RG flows.