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Higher-spin current multiplets in operator-product expansions

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arxiv hep-th/9906167 v2 pith:ZFXU65UN submitted 1999-06-21 hep-th

classification hep-th
keywords higher-spinfieldoperator-productapplicationarbitrarybarecentralcharges
verification ladder T0 review T1 audit T2 compute T3 formal
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Various formulas for currents with arbitrary spin are worked out in general space-time dimension, in the free field limit and, at the bare level, in presence of interactions. As the n-dimensional generalization of the (conformal) vector field, the (n/2-1)-form is used. The two-point functions and the higher-spin central charges are evaluated at one loop. As an application, the higher-spin hierarchies generated by the stress-tensor operator-product expansion are computed in supersymmetric theories. The results exhibit an interesting universality.

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Cited by 3 Pith papers

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  1. Symmetric formulation for higher spin correlators, quantum effective action and anomaly

    hep-th 2026-08 conditional novelty 6.0 of 10

    The trace anomaly of the higher-spin conformal effective action is shown to be the single source of both trace and gauge anomalies, with a 2s-derivative structure in d=4.

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    Establishes a one-to-one correspondence between states and p-dimensional defects in higher-form Maxwell theories via an extended Kac-Moody algebra generated by conserved charges from mixed anomalies, mapping dressed W...

  3. Constructive approach to solution of the conservation condition for conformal higher spin tree-point correlation function with equal spins

    hep-th 2025-05 conditional novelty 6.0 of 10

    For equal-spin currents up to spin four, conserved three-point correlators can be constructed explicitly as linear combinations of products of spin-one and spin-two Osborn-Petkou building blocks.

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