Supersymmetric AdS $$_6$$ 6 solutions of type IIB supergravity

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.

Section: Adsmentioning

confidence: 96%

Minimal flux Minkowski classification

Macpherson

Tomasiello

2017

“…Prior to [37] the only known explicit solution to Type II supergravities was the Brandhuber and Oz background [41], which was shown to be the only possible such solution in (massive) IIA in [38]. Later [39] proved the non-existence of AdS6 solutions in M-theory and derived the PDEs that such solutions must satisfy in Type IIB (see also [40]), to which the example in [37], constructed from the Brandhuber and Oz solution via non-Abelian T-duality, provides the only known explicit solution (besides the Abelian T-dual).…”

Section: Jhep08(2015)121mentioning

confidence: 99%

New AdS3 × S2 T-duals with N = 0 4 $$ \mathcal{N}=\left(0,4\right) $$ supersymmetry

Lozano

Macpherson

Montero

et al. 2015

It is well known that Hopf-fibre T-duality and uplift takes the D1-D5 nearhorizon into a class of AdS 3 × S 2 geometries in 11D where the internal space is a CalabiYau three-fold. Moreover, supersymmetry dictates that Calabi-Yau is the only permissible SU(3)-structure manifold. Generalising this duality chain to non-Abelian isometries, a strong parallel exists, resulting in the first explicit example of a class of AdS 3 ×S 2 geometries with SU(2)-structure. Furthermore, the non-Abelian T-dual of AdS 3 ×S 3 ×S 3 ×S 1 results in a new supersymmetric AdS 3 × S 2 geometry, which falls outside of all known classifications. We explore the basic properties of the holographic duals associated to the new backgrounds. We compute the central charges and show that they are compatible with a large N = 4 superconformal algebra in the infra-red.

“…In this context, and in particular for AdS 6 backgrounds, several solutions have been found in [3][4][5][6][7][8][9] and explored in the context of AdS 6 /CFT 5 , see eg [10][11][12][13][14]. Furthermore it has been shown in [15][16][17] that AdS 6 backgrounds preserve either 16 or 32 supersymmetries in all 10-and 11-dimensional supergravity theories.…”

Section: Introductionmentioning

confidence: 99%

On supersymmetric AdS6 solutions in 10 and 11 dimensions

Gutowski

Papadopoulos

2017

We prove a non-existence theorem for smooth, supersymmetric, warped AdS 6 solutions with connected, compact without boundary internal space in D = 11 and (massive) IIA supergravities. In IIB supergravity we show that if such AdS 6 solutions exist, then the NSNS and RR 3-form fluxes must be linearly independent and certain spinor bilinears must be appropriately restricted. Moreover we demonstrate that the internal space admits an so(3) action which leaves all the fields invariant and for smooth solutions the principal orbits must have co-dimension two. We also describe the topology and geometry of internal spaces that admit such a so(3) action and show that there are no solutions for which the internal space has topology F × S 2 , where F is an oriented surface.