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

TL;DR

This paper constructs new Type IIB supergravity solutions with $AdS_6$ geometry involving 7-branes and 5-brane junctions, providing insights into dual 5d SCFTs and matching operators with supergravity states.

Contribution

It introduces explicit $AdS_6$ solutions with 7-branes and describes their dual 5d SCFTs, including operator matching and novel brane configurations.

Findings

Constructed explicit $AdS_6$ solutions with 7-branes.

Identified dual 5d SCFTs and matched operators.

Demonstrated solutions describe complex 5-brane junctions.

Abstract

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 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 $\mathcal O(N)$ with their representation in supergravity to support the proposed dualities.