Finite-size effects in the superconformal beta-deformed N=4 SYM

TL;DR

This paper investigates finite-size effects on the spectrum of single magnon states in the beta-deformed N=4 SYM theory, including detailed four-loop calculations of anomalous dimensions and wrapping effects.

Contribution

It provides the first detailed four-loop analysis of wrapping contributions for non-BPS one-impurity states in the beta-deformed N=4 SYM.

Findings

Computed anomalous dimensions including wrapping effects up to four loops.

Analyzed higher order finite-size effects on non-BPS states.

Enhanced understanding of spectrum corrections in deformed superconformal theories.

Abstract

We study finite size effects for composite operators in the SU(2) sector of the superconformal beta-deformed N=4 SYM theory. In particular we concentrate on the spectrum of one single magnon. Since in this theory one-impurity states are non BPS we compute their anomalous dimensions including wrapping contributions up to four loops and discuss higher order effects.