On minimal Type IIB AdS6 solutions with commuting 7-branes

We construct Type IIB supergravity solutions with geometry AdS6×S2 warped over a disc with two boundary points where 5-branes emerge and punctures with 7-brane monodromy. They describe (p, q) 5-brane junctions with two groups of like-charged external 5-branes that are unconstrained by the s-rule and an additional group of constrained 5-branes. The dual 5d SCFTs include various theories discussed previously in the literature. We match SCFT operators with scaling dimension of O\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{O} $$\end{document}(N) with their representation in supergravity to support the proposed dualities.