Baryonic branches and resolutions of Ricci-flat Kahler cones
Abstract
We consider deformations of N=1 superconformal field theories that are AdS/CFT dual to Type IIB string theory on Sasaki-Einstein manifolds, characterised by non-zero vacuum expectation values for certain baryonic operators. Such baryonic branches are constructed from (partially) resolved, asymptotically conical Ricci-flat Kahler manifolds, together with a choice of point where the stack of D3-branes is placed. The complete solution then describes a renormalisation group flow between two AdS fixed points. We discuss the use of probe Euclidean D3-branes in these backgrounds as a means to compute expectation values of baryonic operators. The Yp,q theories are used as illustrative examples throughout the paper. In particular, we present supergravity solutions describing flows from the Yp,q theories to various different orbifold field theories in the infra-red, and successfully match this to an explicit field theory analysis.
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