The topology of the triple Pomeron vertex in N=4 SYM

TL;DR

This paper explores the structure of the triple Pomeron vertex in N=4 SYM theory at high energies, revealing connections to QCD and string theory through the AdS/CFT correspondence.

Contribution

It identifies and analyzes the triple Pomeron vertex within N=4 SYM, linking it to known QCD structures and providing a bridge to string theory via AdS/CFT.

Findings

Identified three classes of diagrams in the triple Regge limit.

Found a class containing the triple Pomeron vertex similar to QCD.

Results enable comparison with dual string theory scattering amplitudes.

Abstract

We investigate, within N=4 SYM, the high energy behavior in the triple Regge limit of a six point correlator of R-currents. Using the leading logarithmic approximation, we sum all diagrams whose color lines fit onto the surface of a sphere. We find three distinct classes of graphs, and one of them contains the triple Pomeron vertex known from QCD. We present results which, within the AdS/CFT correspondence, can be compared with scattering amplitudes in the dual string theory.