On the wrapping correction to single magnon energy in twisted N=4 SYM

TL;DR

This paper derives a closed-form expression for the wrapping correction to single magnon energy in a twisted N=4 SYM theory using Zeilberger summation, and analyzes its large volume behavior.

Contribution

It provides the first closed-form formula for wrapping corrections in the beta-deformed N=4 SYM at beta=1/2, advancing understanding of finite-size effects.

Findings

Closed-form formula for wrapping correction derived

Large volume expansion computed

Enhances analytical tools for integrable gauge theories

Abstract

We apply Zeilberger summation to derive a closed formula for the wrapping correction to one-impurity states in the su(2) sector of the beta-deformed N=4 SYM theory at beta=1/2. As an application depending heavily on the result, we compute the large volume expansion of the wrapping correction.