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Effective action in a higher-spin background

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arxiv 1012.2103 v3 pith:ZH7J6OUU submitted 2010-12-09 hep-th

Xavier Bekaert , Euihun Joung , Jihad Mourad This is my paper · ORCID
classification hep-th
keywords higher-spingaugefieldsactionbackgrounddetermineddivergenteffective
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider a free massless scalar field coupled to an infinite tower of background higher-spin gauge fields via minimal coupling to the traceless conserved currents. The set of Abelian gauge transformations is deformed to the non-Abelian group of unitary operators acting on the scalar field. The gauge invariant effective action is computed perturbatively in the external fields. The structure of the various (divergent or finite) terms is determined. In particular, the quadratic part of the logarithmically divergent (or of the finite) term is expressed in terms of curvatures and related to conformal higher-spin gravity. The generalized higher-spin Weyl anomalies are also determined. The relation with the theory of interacting higher-spin gauge fields on anti de Sitter spacetime via the holographic correspondence is discussed.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Light-Front approach to $4d$ massless Higher-Spin interactions

    hep-th 2026-07 conditional novelty 7.5 of 10

    Solving Poincaré-algebra closure at quartic order yields infinitely many local 4d massless higher-spin theories (finite or infinite spectra), classifies chiral one-/two-derivative models, and determines all local unit...

  2. Massless spinning fields on the Light-Front: quartic vertices and amplitudes

    hep-th 2026-02 conditional novelty 7.0 of 10

    A light-front quartic-constraint analysis classifies local massless higher-spin vertices and amplitudes, yielding no-go results for unitary theories and new quasi-chiral higher-spin sectors.

  3. Higher-spins on Taub-NUT and higher-spin Taub-NUT

    hep-th 2025-08 conditional novelty 6.0 of 10

    Higher-spin fields are solved exactly on the Taub-NUT instanton in the self-dual Yang-Mills truncation, and an order-by-order convergent higher-spin Taub-NUT solution is constructed in self-dual gravity, organized by ...

  4. Scalar Field on a higher-spin Background via Fedosov quantization

    hep-th 2024-12 conditional novelty 6.0 of 10

    A Fedosov-quantized Wigner function and the Feigin-Felder-Shoikhet trace yield a manifestly covariant action for scalar matter coupled to conformal higher-spin backgrounds.

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