Supermultiplet of β-deformations from twistors

Abstract

We consider the supermultiplet of linearized beta-deformation of [Formula: see text] super-Yang–Mills (SYM). It was previously studied on the gravitational side. We study the supermultiplet of beta-deformations on the field theory side and we compare two finite-dimensional representations of [Formula: see text] algebra. We show that they are related by an intertwining operator. We develop a twistor-based approach which could be useful for studying other finite-dimensional and nonunitary representations in AdS/CFT correspondence.