Towards a Unified Theory of Massless Superfields of All Superspins

TL;DR

This paper develops a universal gauge theory action for massless superfields of all superspins in N=1, D=4 anti-de Sitter superspace, highlighting its invariance under extended supersymmetry transformations.

Contribution

It introduces a novel gauge theory formulation for massless superfields of all superspins using unconstrained superfields in a hyperboloid algebra, extending previous models.

Findings

The action is invariant under N=2 supersymmetry transformations.

The superfield formulation is based on analytic functions over a hyperboloid.

The algebra of supersymmetry transformations closes off the mass-shell.

Abstract

We describe the ``universal'' action for massless superfields of all superspins in N = 1, D = 4 anti-de Sitter superspace as a gauge theory of unconstrained superfields taking their values in the commutative algebra of analytic functions over a one-sheeted hyperboloid in $R^{3,1}$. The action is invariant under N = 2 supersymmetry transformations which form a closed algebra off the mass-shell.