Twist operators in N=4 beta-deformed theory

TL;DR

This paper calculates finite size corrections for twist operators in beta-deformed N=4 SYM, confirming their consistency with known principles and analyzing their behavior in the large spin limit and against BFKL predictions.

Contribution

It provides the first detailed derivation of finite size corrections for twist-2 and twist-3 operators in beta-deformed SYM, including leading and next-to-leading order results.

Findings

Finite size corrections respect maximum transcendentality and reciprocity.

Wrapping corrections vanish at large spin.

Pole structure matches BFKL predictions for twist-2 operators.

Abstract

In this paper we derive both the leading order finite size corrections for twist-2 and twist-3 operators and the next-to-leading order finite-size correction for twist-2 operators in beta-deformed SYM theory. The obtained results respect the principle of maximum transcendentality as well as reciprocity. We also find that both wrapping corrections go to zero in the large spin limit. Moreover, for twist-2 operators we studied the pole structure and compared it against leading BFKL predictions.