The gauge/gravity duality leads to unexpected connections between equations of motion in the bulk and semiclassical front-form QCD. In particular, the asymptotic string coupling in AdS, which encodes the strong dynamics in the IR, can be mapped to the physical nonperturbative effective coupling in QCD. After briefly introducing the basic framework and the model constraints from superconformal symmetry, I will present a recent analyticity-based approach to extend the IR holographic results to the near-IR transition region by studying the flow of singularities of the coupling in the complex Q^2-plane. This new approach removes the IR singularities which have frustrated previous attempts to describe the IR-UV transition region and allows us to successfully describe the available data in this domain. Finally, I will briefly mention recent progress to extend this work to the deep UV by imposing rigorous conditions from the QCD renormalization group.
Reference: https://journals.aps.org/prl/accepted/48074Y8dEba1938c03b9906016a71317f4a53811e