Abstract
We classify AdS3 solutions preserving mathcal{N} = (8, 0) supersymmetry in ten and eleven dimensions and find the local form of each of them. These include the AdS3×S6 solution of [1] and the embeddings of AdS3 into AdS4×S7, AdS5×S5, AdS7/ℤk×S4 and its IIA reduction within AdS7. More interestingly we find solutions preserving the superconformal algebras {mathfrak{f}}_4,mathfrak{su}left(1,1|4right),mathfrak{osp}left({4}^{ast }|4right) on certain squashings of the 7-sphere. These solutions asymptote to AdS4×S7 and are promising candidates for holographic duals to defects in Chern-Simons matter theories.
Highlights
In this work we will concern ourselves with the construction of supergravity solutions in ten and eleven dimensions that give a dual description of 2-dimensional supersymmetric conformal field theories (SCFTs) in terms of the AdS3/CFT2 correspondence
The best understood avatars of the AdS/CFT correspondence provide a map between geometries and CFTs preserving maximal supersymmetry, which for AdS3 solutions in ten or eleven dimensions is 16 real supercharges [4]
Instead we shall set ourselves the more modest goal of classifying all solutions in ten and eleven dimensions preserving N = (8, 0) supersymmetry1 — we will find the local form of each of them
Summary
In this work we will concern ourselves with the construction of supergravity solutions in ten and eleven dimensions that give a dual description of 2-dimensional supersymmetric conformal field theories (SCFTs) in terms of the AdS3/CFT2 correspondence. The first example of an AdS3 solution preserving N = (8, 0) was found in [1] This solution is in massive IIA and realises maximal supersymmetry in terms of the superconformal algebra f(4). These solutions are all foliations over semi-infinite intervals which tend to AdS4×S7 at infinity. Under some representation of an R-symmetry — which we will make much use of later in the paper
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