Cascading RG flows from new Sasaki-Einstein manifolds

In important recent developments, new Sasaki-Einstein spaces ^p.q and conformal gauge theories dual to AdS₅ × Y^p,q have been constructed. We consider a stack of N D3-branes and M wrapped D5-branes at the apex of a cone over Y^p,q. Replacing the D-branes by their fluxes, we construct asymptotic solutions for all p and q in the form of warped products of the cone and R^3,1. We show that they describe cascading RG flows where N decreases logarithmically with the scale. The warp factor, which we determine explicitly, is a function of the radius of the cone and one of the coordinates on Y^p,q We describe the RG cascades in the dual quiver gauge theories, and find an exact agreement between the supergravity and the field theory β-functions. We also discuss certain dibaryon operators and their dual wrapped D3-branes in the conformal case M = 0.