Correlators of Wilson loops on Hopf fibrations in the AdS_5/CFT_4 correspondence

We study at quantum level the correlators of supersymmetric Wilson loops lying on Hopf fibers of S^3. In N=4 SYM, the strong coupling analysis can be performed using AdS/CFT correspondence. A connected surface, linking two different fibers is presented. The string solution describes fibers with opposite orientations and thus supersymmetry is broken. We describe the appearance of a first order phase transition as a function of angular separation of the fibers, of the difference of scalar couplings and of the ratio of the radii of the fibers, between a connected phase, where a unique surface stretches between the two fibers, and a disconnected phase, where each fiber is attached to a distinct surface. Deeper investigations are carried on in particular limits, where supersymmetry is restored or a quark-antiquark static potential interpretation is given.