Explicit N=2 supersymmetry for higher-spin massless fields in D=4 AdS superspace

TL;DR

This paper develops two explicit N=2 superfield formulations for massless higher-spin fields in D=4 AdS superspace, achieving supersymmetry without harmonic superspace or auxiliary fields, and providing simplified component analysis.

Contribution

It introduces two novel N=2 superfield formulations for massless higher-superspin fields in D=4 AdS superspace without auxiliary components or harmonic superspace.

Findings

Explicit Osp(2|4) supersymmetry achieved

Formulations in two different superspaces with fiber bundle structure

Simplified rules for component analysis from N=1 derivatives

Abstract

We develop two N=2 superfield formulations of free equations of motion for the joint model of all D=4 massless higher-superspin fields in generating form. The explicit Osp(2|4) supersymmetry is achieved without exploiting the harmonic superspace, and with adding no auxiliary component fields to those of N=1 superfields. The formulations are developed in two different Osp(2|4) homogeneous superspaces which have a structure of a fibre bundle over the standard D=4 AdS superspace, with dimensions (7|4) and (7|8). The N=2 covariant derivatives in these spaces are expressed in terms of N=1 ones which gives simple rules for component analysis.