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arXiv · 2408.12330

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

Haiming Yuan·Xian-Hui Ge·Keun-Young Kim
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Abstract

We develop the pole-skipping structure in de Sitter (dS) spacetime and find that their leading frequencies satisfy the relation $\omega_{dS}=i2\pi T_{dS}(1-s)$, where $T_{dS}=1/2\pi L$ 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-$\frac{1}{2}$ correspond one-to-one with those in the classical limit as $\lambda\rightarrow 0$ in double-scaled Sachdev-Ye-Kitaev model when the temperature is infinite (DSSYK$_\infty$). 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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Haiming Yuan, Xian-Hui Ge, Keun-Young Kim. 2024-08-22. Pole-skipping in two-dimensional de Sitter spacetime and double-scaled SYK model. https://doi.org/10.1103/f3cb-kmnc

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