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The AdS/CFT correspondence in principle gives a new approach to deepinelastic scattering as formulated by Polchinski and Strassler. SubsequentlyBrower, Polchinski, Strassler and Tan (BPST) computed the strong couplingkernel for the vacuum (or Pomeron) contribution to total cross sections. Byidentifying deep inelastic scattering with virtual photon total cross section,this allows a self consistent description at small-$x$ where the dominantcontribution is the vacuum exchange process. Here we formulate thiscontribution and compare it with HERA small-$x$ DIS scattering data. We findthat the BPST kernel along with a very simple local approximation to the protonand current "wave functions" gives a remarkably good fit not only at large$Q^2$ dominated by conformal symmetry but also extends to small $Q^2$,supplemented by a hard-wall cut-off of the AdS in the IR. We suggest that thisis a useful phenomenological parametrization with implications for otherdiffractive processes, such as double diffractive Higgs production.

String-Gauge Dual Description of Deep Inelastic Scattering at Small-$x$