Four loop reciprocity of twist two operators in N=4 SYM

TL;DR

This paper proves that the four-loop anomalous dimension of twist-2 operators in N=4 SYM obeys a generalized reciprocity, extending the known three-loop result and confirming a key symmetry property at higher loops.

Contribution

It provides a proof that the four-loop universal anomalous dimension satisfies generalized Gribov-Lipatov reciprocity in N=4 SYM, advancing understanding of symmetry properties at higher loops.

Findings

Four-loop anomalous dimension obeys reciprocity

Reciprocity extends from three to four loops

Supports integrability and symmetry in N=4 SYM

Abstract

The four loop universal anomalous dimension of twist-2 operators in N=4 SYM has been recently conjectured. In this paper, we prove that it obeys a generalized Gribov-Lipatov reciprocity, previously known to hold at the three loop level.