We use gauge/gravity duality to study deeply virtual Compton scattering (DVCS) in the limit of high center of mass energy at fixed momentum transfer, corresponding to the limit of low Bjorken $x$, where the process is dominated by the exchange of the Pomeron. Using conformal Regge theory we review the form of the amplitude for Pomeron exchange, at both strong and weak ’t Hooft coupling. At strong coupling, the Pomeron is described as the graviton Regge trajectory in anti–de Sitter (AdS) space, with a hard wall to mimic confinement effects. This model agrees with HERA data in a large kinematical range. The behavior of the DVCS cross section for very high energies, inside saturation, can be explained by a simple AdS black disk model. In a restricted kinematical window, this model agrees with HERA data as well.

• Received 8 March 2012

DOI:https://doi.org/10.1103/PhysRevD.86.016009