Comments on the beta-deformed N=4 SYM Theory

TL;DR

This paper investigates correlation functions in the beta-deformed N=4 SYM theory, showing that certain operators' correlators are unaffected by the deformation at lowest order, and confirms the central charge's invariance.

Contribution

It provides explicit calculations of 2- and 3-point functions in the deformed theory, revealing no lowest-order radiative corrections and identifying new chiral primary operators.

Findings

Central charge remains unchanged by deformation.

2- and 3-point functions of chiral primaries have no lowest-order corrections.

Operator tr(Z_1Z_2) also exhibits vanishing lowest-order corrections.

Abstract

Several calculations of 2- and 3-point correlation functions in the deformed theory are presented. The central charge in the Lunin-Maldacena gravity dual is shown to be independent of the deformation parameter. Calculations show that 2- and 3-point functions of chiral primary operators have no radiative corrections to lowest order in the interactions. Correlators of the operator tr(Z_1Z_2), which has not previously been identified as chiral primary, also have vanishing lowest order corrections.