  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 Y^{p,q} theories are used as
illustrative examples throughout the paper. In particular, we present
supergravity solutions describing flows from the Y^{p,q} theories to various
different orbifold field theories in the infra-red, and successfully match this
to an explicit field theory analysis.
