Holographic three-point functions for short operators

Understand

We consider holographic three-point functions for operators dual to short string states at strong coupling in N=4 super Yang-Mills.

• We treat the states as point-like as they come in from the boundary but as strings in the interaction region in the bulk.
• The interaction position is determined by saddle point, which is equivalent to conservation of the canonical momentum for the interacting particles, and leads to conservation of their conformal charges.
• We further show that for large dimensions the rms size of the interaction region is small compared to the radius of curvature of the AdS space, but still large compared to the string Compton wave-length.