Supermultiplet of beta-deformations from twistors

Abstract

We consider the supermultiplet of linearized beta-deformation of N = 4 superYang-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 finitedimensional representations of psl(4| 4, R) 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.