arXiv subjects

Segundo P. Milián

Publications and source records attributed to Segundo P. Milián.

2 recordsLinked to original sources

arXiv2018

A geometrical point of view on linearized beta-deformations

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.

hep-th↗

arXiv2016

Supermultiplet of $β-$deformations from twistors

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 $psl(4|4,\bf{R})$ 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.

hep-th↗