Abstract
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 supergeometrical 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.
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