Light-cone vector superspace and continuous-spin field in AdS

TL;DR

This paper develops a light-cone gauge vector superspace framework to analyze continuous-spin fields in AdS space, providing solutions for spin operators and classifying fields.

Contribution

It introduces a simplified approach for continuous-spin fields in AdS, including a classification scheme and conjectures on masslessness, applicable in various dimensions.

Findings

Derived simple solutions for spin operators in light-cone gauge

Classified continuous-spin fields in AdS space

Obtained all unitary irreps of non-linear spin algebra in 4D AdS

Abstract

In the framework of light-cone gauge vector superspace, a continuous-spin field propagating in AdS space of dimension greater than or equal to four is studied. Use of such framework allows us to find a simple solution for spin operators entering our light-cone gauge Lagrangian formulation. Bosonic continuous-spin field is considered in AdS space of arbitrary dimensions, while the use of a helicity basis in four-dimensional AdS space allows us to consider bosonic and fermionic continuous-spin fields on an equal footing. Classification of continuous-spin fields is proposed. Conjectures on the notion of masslessness for continuous-spin field are made. All unitary irreps of non-linear spin algebra for four-dimensional AdS are also obtained.