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Cubic Interaction for Higher Spins in $AdS_{d+1}$ space in the explicit covariant form

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arxiv 1908.07901 v2 pith:42DVBA6D submitted 2019-08-20 hep-th

classification hep-th
keywords spaceinteractiontermdimensionalflathighermainterms
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abstract

We present a slightly modified prescription of the radial pullback formalism proposed previously by R. Manvelyan, R. Mkrtchyan and W. R\"uhl in 2012, where authors investigated possibility to connect the main term of higher spin interaction in flat $d+2$ dimensional space to the main term of interaction in $AdS_{d+1}$ space ignoring all trace and divergent terms but expressed directly through the $AdS$ covariant derivatives and including some curvature corrections. In this paper we succeeded to solve all necessary \emph{recurrence relations} to finalize full radial pullback of the main term of cubic self-interaction for higher spin gauge fields in Fronsdal's formulation from flat to one dimension less $AdS_{d+1}$ space. Nontrivial solutions of recurrence relations lead to the possibility to obtain the full set of $AdS_{d+1}$ dimensional interacting terms with all curvature corrections including trace and divergence terms from any interaction term in $d+2$ dimensional flat space.

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Cited by 2 Pith papers

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

  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.

  2. 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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