Confinement, asymptotic freedom and renormalons in type-0 string duals

Type-0B string theory has been proposed as the dual description of non-supe rsymmetric SU(N) Yang-Mills theory coupled to six scalars, in four dimensio ns. We study numerically and analytically the equations of motion of type-0 B gravity and we find RG trajectories of the dual theory that ow from an as ymptotically free UV regime to a confining IR regime. In the UV we find a o ne-parameter family of solutions that approach asymptotically AdS(5) x S-5 with a logarithmic ow of the coupling plus non-perturbative terms that corr ectly reproduce all UV and IR renormalon singularities. The first UV renorm alon gives a contribution similar to F-1(E)/E-2 and we are able to predict also the form of the function F-1(E), which, from the YM side, corresponds to summing all multiple-chain bubble graphs. The fact that the positions of the renormalon singularities in the Borel plane come out correctly is a no n-trivial test of the conjectured duality.