Type II solutions on AdS3 × S3 × S3 with large superconformal symmetry

New local solutions in type II supergravity that are foliations of AdS3 ×S3 ×S3 over an interval and preserve at least large N=40\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=\left(4,0\right) $$\end{document} supersymmetry are found. Some cases have compact internal space, some not and one experiences an enhancement to N=44\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=\left(4,4\right) $$\end{document}. We present two new globally compact solutions with D brane and O plane sources explicitly, one in each of IIA and IIB. The former is part of an infinite family of solutions with D8/O8s back reacted on AdS3 × S3 × S3 × S1. In the latter the algebra degenerates to small N=40\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=\left(4,0\right) $$\end{document} and the internal geometry is bounded between D5s and O5s back reacted on AdS3 × S3 ×ℝ4.