AdS$_6$/CFT$_5$ with O7-planes

Type IIB AdS$_6$ solutions with orientifold 7-planes are constructed. The geometry is a warped product of AdS$_6$ and S$^2$ over a Riemann surface $\Sigma$ and the O7-planes correspond to a particular type of puncture on $\Sigma$. The solutions are identified as near-horizon limits of $(p,q)$ 5-brane webs with O7-planes. The dual 5d SCFTs have relevant deformations to linear quiver gauge theories which have $SO(\cdot)$ or $USp(\cdot)$ nodes or $SU(\cdot)$ nodes with hypermultiplets in symmetric or antisymmetric representations, in addition to $SU(\cdot)$ nodes with fundamental hypermultiplets. The S$^5$ free energies are obtained holographically and matched to field theory computations using supersymmetric localization to support the proposed dualities.