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Mixed-symmetry fields in de Sitter space: a group theoretical glance

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arxiv 1612.08166 v4 pith:LCHO2WXV submitted 2016-12-24 hep-th

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

We rederive the characters of all unitary irreducible representations of the $(d+1)$-dimensional de Sitter spacetime isometry algebra $\mathfrak{so}(1,d+1)$, and propose a dictionary between those representations and massive or (partially) massless fields on de Sitter spacetime. We propose a way of taking the flat limit of representations in (anti-) de Sitter spaces in terms of these characters, and conjecture the spectrum resulting from taking the flat limit of mixed-symmetry fields in de Sitter spacetime. We comment on a possible equivalent of the scalar singleton for the de Sitter (dS) spacetime.

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Cited by 5 Pith papers

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

  1. Ising the way into de Sitter

    hep-th 2026-07 conditional novelty 8.0 of 10

    The two-dimensional thermal Ising model on de Sitter provides exact cosmological correlators that stay finite at late times, with perturbative secular logarithms resummed into principal-series oscillations.

  2. 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.

  3. A discrete series gauge field at the late-time boundary of $dS_4$

    hep-th 2026-07 accept novelty 6.0 of 10

    Both Δ=1 and Δ=2 late-time Maxwell operators on planar dS4 furnish the photon unitary discrete series of SO(4,1), which splits into opposite-helicity summands via self-dual field-strength sectors.

  4. Revealing the conformal symmetry of the discrete series scalars in dS${}_2$

    hep-th 2026-07 conditional novelty 6.0 of 10

    Massive discrete-series scalars in dS2 admit an on-shell global conformal symmetry realized non-locally on the scalar and locally on a conformal Killing tensor, with a traceless stress tensor generating SL(2,R)×SL(2,R).

  5. Cosmological Correlators in Gauge Theory and Gravity from EAdS

    hep-th 2025-09 conditional novelty 6.0 of 10

    Gauge and gravitational late-time correlators in de Sitter are mapped to EAdS Witten diagrams, with new Mellin-space propagators and a treatment of even boundary dimensions.

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