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arXiv · 2507.05194

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

R. R. Metsaev
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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.

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R. R. Metsaev. 2025-07-07. Light-cone vector superspace and continuous-spin field in AdS. https://arxiv.org/abs/2507.05194

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