  We construct global solutions to Type IIB supergravity with 16 residual
supersymmetries whose space-time is $AdS_6 \times S^2$ warped over a Riemann
surface. Families of solutions are labeled by an arbitrary number $L\geq 3$ of
asymptotic regions, in each of which the supergravity fields match those of a
$(p,q)$ five-brane, and may therefore be viewed as near-horizon limits of fully
localized intersections of five-branes in Type IIB string theory. These
solutions provide compelling candidates for holographic duals to a large class
of five-dimensional superconformal quantum field theories which arise as
non-trivial UV fixed points of perturbatively non-renormalizable Yang-Mills
theories, thereby making them more directly accessible to quantitative
analysis.
