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Principal and complementary series representations at the late-time boundary of de Sitter

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arxiv 2205.11550 v1 pith:F2AHMESH submitted 2022-05-23 hep-th math-phmath.MP

Principal and complementary series representations at the late-time boundary of de Sitter

classification hep-th math-phmath.MP
keywords seriescomplementarylate-timeprincipalrepresentationsappearsboundarycomputing
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We demonstrate how free massive scalar fields in the set up that usually appears in early universe inflationary studies, correspond to the principal series and complementary series representations of the group SO(d+1,1) by introducing late-time operators and computing their two-point functions.

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

    hep-th 2026-07 accept novelty 6.0

    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.