Skewness Dependence of GPD / DVCS, Conformal OPE and AdS/CFT Correspondence I: Wavefunctions of Regge Trajectory

Understand

Traditional idea of Pomeron/Reggeon description for hadron scattering is now being given theoretical foundation in gravity dual descriptions, where Pomeron corresponds to exchange of spin-j\in 2Z states in the graviton trajectory.

• Deeply virtual compton scattering (DVCS) is essentially a 2 to 2 scattering process of a hadron and a photon, and hence one should be able to study non-perturbative aspects (GPD) of this process by the "Pomeron" process in gravity dual.
• We find, however, that even the most developed formulation of gravity dual Pomeron (Brower--Polchinski--Strassler--Tan (BPST) 2006) is not able to capture skewness dependence of GPD properly.
• Conformal operator product expansion allows us to determine DVCS amplitude in terms of matrix elements of primary operators, which should then be given by wavefunctions on warped spacetime.