Anomalous dimension with wrapping at four loops in N=4 SYM

TL;DR

This paper calculates the four-loop anomalous dimension of a specific operator in N=4 SYM theory, including wrapping effects, using superspace and Gegenbauer polynomial techniques.

Contribution

It provides a detailed computation of wrapping corrections to the Konishi descendant's anomalous dimension at four loops in N=4 SYM.

Findings

Explicit four-loop anomalous dimension including wrapping effects.

Use of N=1 superspace and Gegenbauer polynomial techniques.

Detailed diagrammatic analysis of wrapping contributions.

Abstract

In this paper we give all the details of the calculation that we presented in our previous paper arXiv:0712.3522, concerning the four-loop anomalous dimension of the Konishi descendant tr(\phi Z\phi Z-\phi \phi Z Z) in the SU(2) sector of the N=4 planar SYM theory. We explicitly consider all the wrapping diagrams that we compute using an N=1 superspace approach and Gegenbauer polynomial x-space techniques.