A geometrical point of view on linearized beta-deformations

It is known that the supermultiplet of beta-deformations of $\mathcal{N}=4$ supersymmetric Yang-Mills theory can be described in terms of the exterior product of two adjoint representations of the superconformal algebra. We present a super-geometrical interpretation of this fact, by evaluating the deforming operator on some special coherent states in the space of supersingletons. We also discuss generalization of this approach to other finite-dimensional deformations of the $\mathcal{N}=4$ supersymmetric Yang-Mills theory.