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The World-Line Quantum Mechanics Model at Finite Temperature which is Dual to the Static Patch Observer in de Sitter Space

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arxiv 1112.1267 v2 pith:6YPMVSF2 submitted 2011-12-06 hep-th

Ryuichi Nakayama This is my paper · ORCID
classification hep-th
keywords modelsitterconformalconformallycoupledfieldsfiniteintegral
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A simple conformal quantum mechanics model of a d-component variable is proposed, which exactly reproduces the retarded Green functions and conformal weights of conformally coupled scalar fields in de Sitter spacetime seen by a static patch observer. It is found that the action integral of this model is automatically expressed by a complex integral over the time variable t along a closed contour in a way which is typical to the Schwinger-Keldysh formalism of a thermofield theory. Hence this model is at finite temperature. The case of conformally coupled scalar fields in 3d Schwarzschild de Sitter space is also considered and then a large-N matrix model is obtained.

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Cited by 3 Pith papers

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

  1. A de Sitter Anti-Scrambling Algebra

    hep-th 2026-07 conditional novelty 7.0 of 10

    In a toy model of de Sitter quantum gravity, shockwave time advances break the KMS condition and prevent the Hartle-Hawking state from being a trace on the observer's crossed-product algebra.

  2. Stress Tensor Deformations in dS/CFT: Mixed Boundary Conditions, Spectrum Flow and Pseudo Entropy

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    Proposes stress tensor deformation dictionary in dS/CFT via metric-flow and mixed boundary conditions at future infinity, with exact consistency check in Kerr-dS3/CFT2 and pseudo entropy computations for TTbar and roo...

  3. The spectrum of pure dS$_3$ gravity in the static patch

    hep-th 2025-05 conditional novelty 6.0 of 10

    The static-patch partition function of three-dimensional de Sitter gravity is identified with the future-boundary wavefunction, giving a dense discrete spectrum with negative degeneracies.

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