Current correlators in the Coulomb branch of N=4 SYM

We study correlators of R-symmetry currents in the Coulomb branch of N = 4 supersymmetric gauge theory in the large-N limit, using the AdS/CFT corresp ondence. In particular, we consider gauge fields in the presence of gravity and scalar fields parameterizing the coset SL(6, R)/SO(6) in the context o f five-dimensional gauged supergravity. From a ten-dimensional point of vie w these backgrounds correspond to continuous D3-brane distributions. We fin d the surprising result that all 2-point functions of gauge currents fall i nto the same universality class, irrespectively of whether they correspond to broken or unbroken symmetries. We show that the problem of finding the s pectrum can be mapped into an equivalent Schrodinger problem for supersymme tric quantum mechanics. The corresponding potential is the supersymmetric p artner of the potential arising in studies of the spectrum for massless sca lars and transverse graviton fluctuations in these backgrounds and the asso ciated spectra are also identical. We discuss in detail two examples where these computations can be done explicitly as in the conformal case.