On wrapping corrections to GKP-like operators

TL;DR

This paper investigates wrapping corrections to GKP-like operators in beta-deformed N=4 SYM and ABJM theory, demonstrating that these corrections are subleading and can be accurately approximated using the Y-system at weak coupling.

Contribution

It extends the analysis of wrapping corrections to GKP-like operators to beta-deformed N=4 SYM and ABJM, confirming their subleading nature using the Y-system.

Findings

Wrapping corrections are subleading in all considered cases.

The Y-system provides accurate large spin expansions at weak coupling.

The analysis applies to various classes of twist operators.

Abstract

In the recent paper arXiv:1010.5009, Maldacena et al. derive the two loop expressions for polygonal Wilson loops expectation values, or MHV amplitudes, by writing them as sums over exchanges of intermediate free particles. The spectrum of excitations of the flux tube between two null Wilson lines can be viewed as the spectrum of excitations around the infinite spin limit of finite twist operators in the sl(2) sector of N=4 SYM or the Gubser-Klebanov-Polyakov (GKP) string. This regime can be captured exploiting integrability and assuming that wrapping corrections are negligible compared to asymptotic Bethe Ansatz contributions. This assumption holds true for the N=4 SYM background GKP string, but deserves further analysis for excited states. Here, we investigate GKP cousins by considering various classes of (generalized) twist operators in beta-deformed N=4 SYM and ABJM theory. We show that the Y-system of Gromov-Kazakov-Vieira easily leads to accurate large spin expansions of the wrapping correction at lowest order in weak-coupling perturbation theory. As a byproduct, we confirm that wrapping corrections are subleading in all the considered cases.