Wrapping at four loops in N=4 SYM

TL;DR

This paper computes the four-loop anomalous dimension of a specific operator in N=4 SYM, highlighting the role of wrapping interactions and transcendentality at high loop orders.

Contribution

It provides the first explicit four-loop calculation of the anomalous dimension including wrapping effects in N=4 SYM.

Findings

Presence of zeta(5) contributions at four loops

Wrapping interactions significantly affect anomalous dimensions

Advances understanding of integrability in gauge theories

Abstract

We present the planar four-loop anomalous dimension of the composite operator tr(phi[Z,phi]Z) in the flavour SU(2) sector of the N=4 SYM theory. At this loop order wrapping interactions are present: they give rise to contributions proportional to zeta(5) increasing the level of transcendentality of the anomalous dimension. In a sequel of this paper all the details of our calculation will be reported.