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Towards higher-spin holography in flat space

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arxiv 2210.04035 v3 pith:ZECDQJZ6 submitted 2022-10-08 hep-th

classification hep-th
keywords algebraspacehigher-spinchiralflatrepresentationholographyidentities
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study the chiral flat space higher-spin algebra, which is the global symmetry algebra of the chiral higher-spin theory in the 4d Minkowski space. We find that it can be constructed as the universal enveloping algebra of a certain chiral deformation of the Poincare algebra quotiented by a set of quadratic identities. These identities allow us to identify a representation of the latter algebra, which by analogy with the AdS space higher-spin holography, we interpret as the flat space singleton representation. We provide two explicit realisations of this singleton representation -- in terms of $sl(2,\mathbb{C})$ spinors and in terms of oscillator-like variables -- as well as briefly discuss its properties.

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Cited by 2 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. Associativity of celestial OPE, higher spins and self-duality

    hep-th 2025-08 conditional novelty 6.0 of 10

    Celestial OPE associativity, the Jacobi identity of a vertex-derived gauge algebra, vanishing four-point amplitudes, and the light-cone holomorphic constraint are shown to be the same consistency condition, solved for...

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