Superspace Formulation of 4D Higher Spin Gauge Theory

TL;DR

This paper develops a superspace formulation for 4D higher spin gauge theories with N=1 supersymmetry, simplifying the description by avoiding twistor space and enabling straightforward generalizations to higher supersymmetries.

Contribution

It introduces a minimal N=1 superspace formulation for 4D higher spin gauge theories, maintaining the same constraints as in spacetime and facilitating extensions to N>1.

Findings

Superspace constraints mirror those in ordinary spacetime.

Formulation simplifies the description of higher spin theories.

Extension to higher N supersymmetries is straightforward.

Abstract

Interacting AdS_4 higher spin gauge theories with N \geq 1 supersymmetry so far have been formulated as constrained systems of differential forms living in a twistor extension of 4D spacetime. Here we formulate the minimal N=1 theory in superspace, leaving the internal twistor space intact. Remarkably, the superspace constraints have the same form as those defining the theory in ordinary spacetime. This construction generalizes straightforwardly to higher spin gauge theories N>1 supersymmetry.