High Energy Behavior of a Six-Point R-Current Correlator in N=4 Supersymmetric Yang-Mills Theory

TL;DR

This paper investigates the high energy behavior of a six-point R-current correlator in N=4 supersymmetric Yang-Mills theory, revealing conformal invariance and a new coupling feature within a perturbative resummation framework.

Contribution

It demonstrates that the two-to-four gluon vertex remains conformally invariant and uncovers a novel direct coupling of the four-gluon t-channel state to the R-current impact factor.

Findings

Conformal invariance of the gluon vertex is preserved in supersymmetric theory.

Identification of a new direct coupling to the R-current impact factor.

Application of generalized leading logarithmic approximation to this correlator.

Abstract

We study the high energy limit of a six-point R-current correlator in N=4 supersymmetric Yang-Mills theory for finite N_c. We make use of the framework of perturbative resummation of large logarithms of the energy. More specifically, we apply the (extended) generalized leading logarithmic approximation. We find that the same conformally invariant two-to-four gluon vertex occurs as in non-supersymmetric Yang-Mills theory. As a new feature we find a direct coupling of the four-gluon t-channel state to the R-current impact factor.