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Automorphic scalar fields in two-dimensional de Sitter space

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arxiv 2207.13202 v2 pith:53POLCTX submitted 2022-07-26 gr-qc hep-th

Atsushi Higuchi , Lasse Schmieding , David Serrano Blanco This is my paper · ORCID
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keywords sitterautomorphiccasefieldsfunctionshadamardinvariantscalar
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We study non-interacting automorphic quantum scalar fields with positive mass in two-dimensional de Sitter space. We find that there are no Hadamard states which are de Sitter invariant except in the periodic case, extending the result of Epstein and Moschella for the anti-periodic case. We construct the two-point Wightman functions for the non-Hadamard de Sitter-invariant states by exploiting the fact that they are functions of the geodesic distance between the two points satisfying an ordinary differential equation. We then examine a certain Hadamard state, which is not de Sitter invariant, and show that it is approximately a thermal state with the Gibbons-Hawking temperature when restricted to a static region of the spacetime.

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  1. 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).

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