Two-point correlators in the beta-deformed N=4 SYM at the next-to-leading order

TL;DR

This paper calculates two-point functions of specific operators in beta-deformed N=4 SYM at next-to-leading order, confirming no anomalous dimensions are generated and identifying finite corrections.

Contribution

It provides the first detailed computation of two-point correlators at this order for operators not listed as BPS in beta-deformed N=4 SYM.

Findings

No anomalous dimensions at this order for the studied operators.

Finite corrections to two-point functions are found.

Results confirm previous findings in hep-th/0506128.

Abstract

We compute two-point functions of lowest weight operators at the next-to-leading order in the couplings for the beta-deformed N=4 SYM. In particular we focus on the CPO Tr(Phi_1^2) and the operator Tr(Phi_1 Phi_2) not presently listed as BPS. We find that for both operators no anomalous dimension is generated at this order, then confirming the results recently obtained in hep-th/0506128. However, in both cases a finite correction to the two-point function appears.