Supergravity and D-branes wrapping supersymmetric 3-cycles

We construct dual supergravity descriptions of D3-branes wrapping associati ve 3-cycles L. We analyse the conditions for having five-dimensional backgr ound solutions of the form AdS(2) x L and show that they require L to be of constant negative curvature type. This provides AdS(2) background solution s when L is the hyperbolic space H-3 or its quotients by subgroups of its i sometry group. We construct a regular numerical solution interpolating betw een AdS(5) in the UV and AdS(2) x H-3 in the IR. The IR fixed point exists at the "intersection" of the Coulomb and Higgs branches. We analyse the sin gular supergravity solutions which correspond to moving into the Higgs and the Coulomb branches. For negative constant curvature spaces the singularit y is of a "good" type in the Higgs branch and of a "bad" type in the Coulom b branch. For positive constant curvature spaces such as S-3 the singularit y is of a "bad" type in both the Higgs and the Coulomb branches. We discuss the meaning of these results.