Four loop twist two, BFKL, wrapping and strings

TL;DR

This paper resolves discrepancies in four-loop twist-two operator anomalous dimensions in N=4 SYM by incorporating string theory derived wrapping corrections, ensuring consistency with BFKL predictions.

Contribution

It provides the missing wrapping contributions from string theory that reconcile four-loop anomalous dimensions with BFKL constraints in N=4 SYM.

Findings

Wrapping corrections from string theory fix four-loop anomalous dimensions.

Results agree with leading and next-to-leading order BFKL expectations.

Discrepancies in asymptotic Bethe ansatz are resolved.

Abstract

The anomalous dimensions of twist two operators have to satisfy certain consistency requirements derived from BFKL. For N=4 SYM it was shown that at four loops, the anomalous dimensions derived from the all-loop asymptotic Bethe ansatz do not pass this test. In this paper we obtain the remaining wrapping part of these anomalous dimensions from string theory and show that these contributions exactly cure the problem and lead to agreement with both LO and NLO BFKL expectations.