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arXiv · 2512.19087

Pole-skipping in the de Sitter horizon structure

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

We study the pole-skipping structure of incoming waves near the cosmic horizon $r=r_c$ in de Sitter (dS) spacetime. We find that the scalar field with spin-0, the Dirac field with spin-1/2, the Maxwell field with spin-1, the Rarita-Schwinger field with spin-3/2, and the gravitational field with spin-2 exhibit the same frequencies $\omega_\star$ of pole-skipping points as their corresponding spin fields satisfying the incoming wave conditions in anti-de Sitter (AdS) spacetime. However, the momenta $k_\star$ undergo a shift in complex space, which originates from the spacetime curvature. The shift in momenta at the pole-skipping points could be measured through the operator dimensions $\Delta$ in two curved spacetimes, where momenta are mutually complex conjugate in dS and AdS, two opposite curvature spacetimes.

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Haiming Yuan, Xian-Hui Ge, Keun-Young Kim. 2025-12-22. Pole-skipping in the de Sitter horizon structure. https://arxiv.org/abs/2512.19087

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