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Consistent deformations of dual formulations of linearized gravity: A no-go result

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arxiv hep-th/0210278 v2 pith:DKEYCPMX submitted 2002-10-29 hep-th

Xavier Bekaert , Nicolas Boulanger , Marc Henneaux This is my paper · ORCID
classification hep-th
keywords columnconsistentdeformationsdualgravityinvolvinglengthlinearized
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The consistent, local, smooth deformations of the dual formulation of linearized gravity involving a tensor field in the exotic representation of the Lorentz group with Young symmetry type (D-3,1) (one column of length D-3 and one column of length 1) are systematically investigated. The rigidity of the Abelian gauge algebra is first established. We next prove a no-go theorem for interactions involving at most two derivatives of the fields.

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Cited by 3 Pith papers

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  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. Gauge-invariant charges of the dual graviton

    hep-th 2024-12 conditional novelty 6.0 of 10

    The dual graviton theory admits gauge-invariant Penrose-type charges that refine the Noether charges, and under duality some charges stay magnetic in both descriptions while others stay electric in both.

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