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A geometrical point of view on linearized beta-deformations

2017/03/02 by Mikhailov, Andrei, Milián, Segundo P.
#81Q60 #81R25 #81T13 #FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1703.00902

Abstract

It is known that the supermultiplet of beta-deformations of \cal 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 \cal N=4 supersymmetric Yang-Mills theory.

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