Pole-skipping in two-dimensional de Sitter spacetime and double-scaled SYK model
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| Format: | Preprint |
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2024
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| _version_ | 1866911065097371648 |
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| author | Yuan, Haiming Ge, Xian-Hui Kim, Keun-Young |
| author_facet | Yuan, Haiming Ge, Xian-Hui Kim, Keun-Young |
| contents | We develop the pole-skipping structure in de Sitter (dS) spacetime and find that their leading frequencies satisfy the relation $ω_{dS}=i2πT_{dS}(1-s)$, where $T_{dS}=1/2πL$ 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-$\frac{1}{2}$ correspond one-to-one with those in the classical limit as $λ\rightarrow 0$ 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_12330 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pole-skipping in two-dimensional de Sitter spacetime and double-scaled SYK model Yuan, Haiming Ge, Xian-Hui Kim, Keun-Young High Energy Physics - Theory We develop the pole-skipping structure in de Sitter (dS) spacetime and find that their leading frequencies satisfy the relation $ω_{dS}=i2πT_{dS}(1-s)$, where $T_{dS}=1/2πL$ 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-$\frac{1}{2}$ correspond one-to-one with those in the classical limit as $λ\rightarrow 0$ 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. |
| title | Pole-skipping in two-dimensional de Sitter spacetime and double-scaled SYK model |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.12330 |