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Supermultiplet of $\beta-$deformations from twistors

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arxiv 1607.06506 v1 pith:KIYWFQKX submitted 2016-07-21 hep-th

Segundo P. Milián This is my paper · ORCID
classification hep-th
keywords supermultipletfinite-dimensionalrepresentationssidealgebraapproachbeta-beta-deformation
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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 $psl(4|4,\bf{R})$ 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.

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Cited by 1 Pith paper

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  1. Beta-deformation in Twistor-String Theory

    hep-th 2024-11 conditional novelty 6.0 of 10

    Ghost-number-two BRST states of the B-model on CP^{3|4} realize the beta deformation of N=4 super-Yang-Mills and deform the action by a current-current term.

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