All $\mathcal{N}=(8,0)$ AdS${}_3$ solutions in 10 and 11 dimensions

Abstract

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${}_3\times$S${}^6$ solution of \cite{Dibitetto:2018ftj} and the embeddings of AdS${}_3$ into AdS${}_4\times$S${}^7$, AdS${}_5\times$S${}^5$, AdS${}_7/{\mathbb{Z}}_k\times$S${}^4$ and its IIA reduction within AdS${}_7$. More interestingly we find solutions preserving the superconformal algebras ${\mathfrak{f}}_4$, $\mathfrak{su}(1,1|4)$, $\mathfrak{osp}(4^{\ast }|4)$ on certain squashings of the 7-sphere. These solutions asymptote to AdS${}_4\times$S${}^7$ and are promising candidates for holographic duals to defects in Chern-Simons matter theories.

43 pages + appendices. v2: published version