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

2025/07/07 by R. R. Metsaev, Metsaev, R. R. · 4 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2507.05194

openalex publication_date 2025/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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