  We analyze six-dimensional supergravity theories coming from intersecting
brane models on the toroidal orbifold T^4/Z_2. We use recently developed tools
for mapping general 6D supergravity theories to F-theory to identify F-theory
constructions dual to the intersecting brane models. The F-theory picture
illuminates several aspects of these models. In particular, we have some new
insight into the matter spectrum on intersecting branes, and analyze gauge
group enhancement as branes approach orbifold points. These novel features of
intersecting brane models are also relevant in four dimensions, and are
confirmed in 6D using more standard Chan-Paton methods.
