Higher spin supercurrents in anti-de Sitter space

TL;DR

This paper develops higher spin supercurrent multiplets and off-shell gauge formulations for supersymmetric theories in four-dimensional anti-de Sitter space, expanding the understanding of superspin structures and their explicit realizations.

Contribution

It introduces explicit realizations of higher spin supercurrents and new off-shell gauge formulations for massless supersymmetric multiplets in AdS space.

Findings

Derived supercurrent multiplets for various supersymmetric models.

Presented new off-shell gauge formulations for massless superspin multiplets.

Extended the framework to include massive chiral superfields with arbitrary mass matrices.

Abstract

We propose higher spin supercurrent multiplets for ${\cal N}=1$ supersymmetric field theories in four-dimensional anti-de Sitter space (AdS). Their explicit realisations are derived for various supersymmetric theories, including a model of $N$ massive chiral scalar superfields with an arbitrary mass matrix. We also present new off-shell gauge formulations for the massless ${\cal N}=1$ supersymmetric multiplet of integer superspin $s$ in AdS, where $s =2,3,\dots$, as well as for the massless gravitino multiplet (superspin $s=1$) which requires special consideration.