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We construct Type IIB supergravity solutions with geometry $AdS_6\times S^2$warped over a disc with two boundary points where 5-branes emerge and punctureswith 7-brane monodromy. They describe $(p,q)$ 5-brane junctions with two groupsof like-charged external 5-branes that are unconstrained by the $s$-rule and anadditional group of constrained 5-branes. The dual 5d SCFTs include varioustheories discussed previously in the literature. We match SCFT operators withscaling dimension of $\mathcal O(N)$ with their representation in supergravityto support the proposed dualities.

On minimal Type IIB $AdS_6$ solutions with commuting 7-branes