发表机构
International Solvay Institutes; Stony Brook University（国际索尔维研究所; 纽约州立大学石溪分校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过矩阵量子力学中的't Hooft 图研究体拓扑签名，揭示复制循环可收缩性与锥形亏缺世界面的联系，并展示平面展开可诊断黑洞蒸发中拓扑主导的交换。
AI 中文摘要
我们研究了矩阵量子力学（MQM）波函数的一种特定拟设中的纠缠熵，这些波函数作为平面't Hooft 展开的生成泛函。我们论证这些't Hooft 图可以直接探测体对偶的拓扑方面，例如热或复制$S^1$ 循环的可收缩性。我们的论证依赖于将't Hooft 图视为离壳弦理论世界面的非微扰定义，其中复制循环的可收缩性导致带有锥形亏缺的世界面（如 Susskind 和 Uglum 首次描述）。我们描述了 MQM 中的退禁闭转变如何与主导拓扑的交换相联系，以及如何与 Susskind 和 Uglum 的开放弦'边缘模式'的候选描述相联系。最后，我们研究了黑洞蒸发的玩具模型，并表明边界平面展开本身诊断了不连通拓扑与复制虫洞拓扑之间主导地位的交换，无需系综平均，也无需独立假设应包含哪些体鞍点。
英文摘要
We study entanglement entropy in a certain ansatz of matrix quantum mechanics (MQM) wavefunctions which behave as generating functionals for a planar 't Hooft expansion. We argue that these 't Hooft diagrammatics can directly probe aspects of the topology of the bulk dual, such as the contractibility of a thermal or replica $S^1$ cycle. Our argument relies on treating 't Hooft diagrams as a non-perturbative definition of off-shell string theory worldsheets in which contractibility of replica cycle leads to worldsheets punctured by a conical deficit (as first described by Susskind and Uglum). We describe how a deconfinement transition in the MQM is tied to the exchange of dominant topologies, as well as to a candidate description of open string 'edge modes' of Susskind and Uglum. Lastly, we study toy models of black hole evaporation and show that the boundary planar expansion itself diagnoses the exchange of dominance between the disconnected topology and replica wormhole topology, without ensemble averaging and without independently postulating which bulk saddles should be included.
Comments34 pages + appendices, 9 figures
