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Generating functions of (partially-)massless higher-spin cubic interactions

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arxiv 1211.5912 v2 pith:LCFKIF3R submitted 2012-11-26 hep-th math-phmath.MP

Euihun Joung , Luca Lopez , Massimo Taronna This is my paper
classification hep-thmath-phmath.MP
keywords interactionsconditionscubicfunctionsgeneratinghigher-spinmassesmassless
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Generating functions encoding cubic interactions of (partially-)massless higher-spin fields are provided within the ambient-space formalism. They satisfy a system of higher-order partial differential equations that can be explicitly solved due to their factorized form. We find that the number of consistent couplings increases whenever the squares of the field masses take some integer values (in units of the cosmological constant) and satisfy certain conditions. Moreover, it is shown that only the supplemental solutions can give rise to non-Abelian deformations of the gauge symmetries. The presence of these conditions on the masses is a distinctive feature of (A)dS interactions that has in general no direct counterpart in flat space.

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Cited by 3 Pith papers

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

  1. A Partially Massless Superconductor

    hep-th 2025-07 conditional novelty 8.0 of 10

    A covariant Higgs mechanism turns the partially massless graviton into a fully massive spin-2 field by condensing a fractonic matter field with dipole symmetry.

  2. 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.

  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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