Warped resolved La,b,c cones

We construct supergravity solutions describing a stack of D3-branes localized at a point on a blown-up cycle of a resolved L-a,L-b,L-c cone. The geometry flows from AdS(5)xL(a,b,c) to AdS(5)xS(5)/Z(k). The corresponding quiver gauge theory undergoes a renormalization group flow between two superconformal fixed points, which leads to semi-infinite chains of flows between the various L-a,L-b,L-c fixed points. The general system is described by a triplet of Heun equations, which can each be solved by an expansion with a three-term recursion relation, though there are closed-form solutions for certain cases. This enables us to read off the operators that acquire nonzero vacuum expectation values as the quiver gauge theory flows away from a fixed point.