Supermultiplet of $\beta -$deformations from twistors

Abstract

We consider the supermultiplet of linearized beta-deformation of $\mathcal{N}=4$ 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 $psl(4|4,\mathbf{R})$ 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.

References in corpus (1)

• Superconformal symmetry and maximal supergravity in various dimensions

Cited by in corpus (1)

• Deformations, renormgroup, symmetries, AdS/CFT