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Higher Spin Conformal Symmetry for Matter Fields in 2+1 Dimensions

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arxiv hep-th/0103208 v2 pith:4BUAU5IB submitted 2001-03-24 hep-th

classification hep-th
keywords conformalalgebrafieldshighermatterrepresentationsspinsymmetry
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abstract

A simple realization of the conformal higher spin symmetry on the free $3d$ massless matter fields is given in terms of an auxiliary Fock module both in the flat and $AdS_3$ case. The duality between non-unitary field-theoretical representations of the conformal algebra and the unitary (singleton--type) representations of the $3d$ conformal algebra $sp(4,\R)$ is formulated explicitly in terms of a certain Bogolyubov transform.

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  1. Dirac Singleton as a Relativistic Field Beyond Standard Model

    hep-th 2025-05 conditional novelty 6.0 of 10

    Dirac singletons are reformulated as nonlocal relativistic fields in (A)dS space-time with new Lagrangians, opening a speculative route to dark matter and baryogenesis.

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