  We argue for finiteness of flux vacua around type IIB CY singularities by
computing their gauge theory duals. This leads us to propose a geometric
transition where the compact 3-cycles support both RR and NS flux, while the
open string side contains 5-brane bound states. By a suitable combination of S
duality and symplectic transformations, both sides are shown to have the same
IR physics. The finiteness then follows from a holomorphic change of couplings
in the gauge side. As a nontrivial test, we compute the number of vacua on both
sides for the conifold and the Argyres-Douglas point, and we find perfect
agreement.
