JT引力中对晚期关联函数的亏格二贡献
Genus-Two Contributions to Late-Time Correlators in JT Gravity
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中文总结 AI 辅助
本研究在拓展单婴儿宇宙情形分析的基础上，构建描述Hartle-Hawking态中两个婴儿宇宙发射吸收的振幅，结合带近似与无捷径条件，得到JT引力中亏格二晚期两点关联函数的解析框架。
中文摘要 AI 辅助
在本研究中，我们分析Jackiw-Teitelboim（JT）引力中的晚期两点关联函数，重点关注与两个婴儿宇宙相关的亏格二（g=2）贡献。我们拓展了单婴儿宇宙（g=1）情形的分析，构建了描述Hartle-Hawking态演化过程中两个婴儿宇宙发射与吸收的振幅，该构建将问题简化为涉及Weil-Petersson体积V_{0,3}的模空间积分。为评估该积分，我们将V_{0,3}分解为Kontsevich图的贡献，并将无捷径条件推广到相关的亏格二带几何。结合带近似，该分解将模空间积分重新组织为不同几何构型对应的有限项贡献之和。随后，我们明确评估了对应两个婴儿宇宙发射的带几何贡献，并确定其对亏格二晚期两点关联函数的贡献。我们的结果表明，带近似结合无捷径条件，为研究包含多个虫洞的更高亏格几何提供了有用的解析框架。
英文摘要
In this work, we analyze the late-time two-point correlation function in Jackiw--Teitelboim gravity, focusing on the genus-two ($g=2$) contribution associated with two baby universes. Extending the analysis of the single-baby-universe ($g=1$) case, we formulate an amplitude describing the emission and absorption of two baby universes during the evolution of the Hartle--Hawking state. This formulation reduces the problem to a moduli-space integral involving the Weil--Petersson volume $V_{0,3}$. To evaluate this integral, we decompose $V_{0,3}$ into contributions from Kontsevich graphs and extend the no-shortcut condition to the relevant genus-two strip geometries. Combined with the strip approximation, this decomposition reorganizes the moduli-space integral into a finite sum of contributions associated with distinct geometric configurations. We then explicitly evaluate the strip-geometry contributions corresponding to the emission of two baby universes and determine their contribution to the genus-two late-time two-point correlation function. Our results suggest that the strip approximation, together with the no-shortcut condition, provides a useful analytic framework for studying higher-genus geometries containing multiple wormholes.
