Warped Resolved La,b,c Cones
Abstract
We construct supergravity solutions describing a stack of D3-branes localized at a point on a blown-up cycle of a resolved La,b,c cone. The geometry flows from AdS5 x La,b,c to AdS5 x S5/Zk. The corresponding quiver gauge theory undergoes an RG flow between two superconformal fixed points, which leads to semi-infinite chains of flows between the various La,b,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 which acquire non-zero vacuum expectation values as the quiver gauge theory flows away from a fixed point.
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