Renormalization group flows on D3 branes at an orbifolded conifold

We consider D3-branes at an orbifolded conifold whose horizon X-5 resolves into a smooth Einstein manifold which joins several copies of T-1,T-1. We d escribe in details the resolution of the singular horizon X-5 and describe different types of two-cycles appearing in the resolution. For a large numb er of D3 branes, the AdS/CFT conjecture becomes a duality between type IIB string theory on AdS(5) x X-5 and the N = 1 field theory living on the D3 b ranes. We study the fractional branes as small perturbations of the string background and we reproduce the logarithmic ow of field theory couplings by studying fluxes of NS-NS and R-R two forms through different 2-cycles of t he resolved horizon.