Moebius invariant BFKL equation for the adjoint representation in N=4 SUSY

TL;DR

This paper demonstrates that in N=4 supersymmetric Yang-Mills theory, the BFKL equation for adjoint representation states can be reformulated to be invariant under Moebius transformations, with an explicit kernel transformation.

Contribution

It introduces a Moebius invariant form of the BFKL equation for the adjoint representation in N=4 SUSY, including an explicit similarity transformation of the kernel.

Findings

BFKL equation can be made Moebius invariant in N=4 SUSY

Explicit similarity transformation of the integral kernel is constructed

Invariance holds in the next-to-leading approximation

Abstract

It is shown that in the next-to-leading approximation of N=4 SUSY the BFKL equation for two-gluon composite states in the adjoint representation of the gauge group can be reduced to a form which is invariant under Moebius transformation in the momentum space. The corresponding similarity transformation of its integral kernel is constructed in an explicit way.