All $\mathcal{N}=(8,0)$ AdS$_3$ solutions in 10 and 11 dimensions
Résumé
We classify AdS$_{3}$ solutions preserving $ \mathcal{N} $ = (8, 0) supersymmetry in ten and eleven dimensions and find the local form of each of them. These include the AdS$_{3}$×S$^{6}$ solution of [1] and the embeddings of AdS$_{3}$ into AdS$_{4}$×S$^{7}$, AdS$_{5}$×S$^{5}$, AdS$_{7}$/ℤ$_{k}$×S$^{4}$ and its IIA reduction within AdS$_{7}$. More interestingly we find solutions preserving the superconformal algebras $ {\mathfrak{f}}_4,\mathfrak{su}\left(1,1|4\right),\mathfrak{osp}\left({4}^{\ast }|4\right) $ on certain squashings of the 7-sphere. These solutions asymptote to AdS$_{4}$×S$^{7}$ and are promising candidates for holographic duals to defects in Chern-Simons matter theories.