Gauge Theory RG Flows from a Warped Resolved Orbifold

We study gauge-string duality of D3-branes localized at a point on the resolution of the ALE orbifold C/Z3. By explicitly solving for the warp factor, we demonstrate the holographic RG flow from AdS5 × S/Z3 (far away from the resolution) to the usual AdS5 × S (close to the stack). On the gauge theory side, this maps to the flow between the quiver gauge theory and N = 4 super Yang-Mills. We present two possible scenarios for this RG flow depending on the choice of the VEVs. In particular, one of the scenarios proceeds by two steps involving both Higgsing and confinement. [email protected] [email protected]