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arxiv 2306.05367 v1 pith:DABBUOOU submitted 2023-06-08 hep-th

New higher-spin curvatures in flat space

classification hep-th
keywords higher-spincurvaturesspacemasslessminkowskiadmitadmitsalgebra
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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It was shown that the Lie algebra underlying higher-spin holography admits a contraction including a Poincar\'e subalgebra in any space-time dimensions. The associated curvatures, however, do not reproduce upon linearisation those that are usually employed to formulate the equations of motion of free massless particles in Minkowski space. We show that, despite this mismatch, the new linearised curvatures can also be used to describe massless higher-spin fields. This suggests a new way to build interacting higher-spin gauge theories in Minkowski space that may admit a holographic description.

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  1. Flat from AdS: in any dimension and for any spin

    hep-th 2026-06 unverdicted novelty 6.0

    Recovers Minkowski massless integer-spin solution space as smooth limit of AdS solution space for even dimensions via cosmological-constant expansion of source and vev.