Light-cone vector superspace and continuous-spin field in 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.
Keywords
Cite
@article{arxiv.2507.05194,
title = {Light-cone vector superspace and continuous-spin field in AdS},
author = {R. R. Metsaev},
journal= {arXiv preprint arXiv:2507.05194},
year = {2026}
}
Comments
12 pages, v2: Typos in formula (3.2) and last column of Table II corrected