Large spin expansion of the wrapping correction to Freyhult-Rej-Zieme twist operators

TL;DR

This paper computes the large spin expansion of wrapping corrections for generalized twist operators in N=4 SYM, extending previous work beyond the sl(2) sector and providing explicit formulas and an algorithm for calculations.

Contribution

It introduces a new method to calculate the large spin expansion of wrapping corrections for generalized twist operators beyond the sl(2) sector in N=4 SYM.

Findings

Explicit large spin expansion formulas for wrapping corrections.

A simple algorithm for calculating these corrections.

Insights into the structure of the expansion at weak coupling.

Abstract

Twist operators in the closed sl(2) sector of planar N=4 SYM are characterized by their spin. The explicit dependence of anomalous dimensions on this important parameter is a source of interesting information. Wrapping corrections are a non trivial part of the calculation and are under control in the framework of thermodynamical Bethe Ansatz valid for the full theory and thoroughly checked in that sector. The extension to more general twist operators beyond sl(2) has been recently accomplished for the so-called 3-gluon operators that are a special case of the generalized twist operators introduced by Freyhult, Rej and Zieme. Such operators are dual to spinning strings configurations with two spins S1, S2 in AdS_5 and charge in S^5. We compute the expansion of the weak-coupling leading order wrapping correction in the gauge theory limit dual to large S1 and fixed S2. We present a simple algorithm for the calculation and provide explicit results illustrating the general structure of the expansion.