全息复杂度作为AdS/BCFT中边界熵的探针
Holographic Complexity as a Probe of Boundary Entropy in AdS/BCFT
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中文总结 AI 辅助
本研究建立TQFTs组织原理与AdS/BCFT对应关系的形式桥梁，利用复杂度-作用量提案，从Wheeler-DeWitt作用量中提取边界熵，还将分析扩展到BTZ黑洞以揭示复杂度增长的物理意义。
中文摘要 AI 辅助
本研究建立了拓扑量子场论（TQFTs）的组织原理与反德西特/边界共形场论（AdS/BCFT）对应关系之间的形式桥梁，将世界末端（EOW）膜解释为承载边界态数据的物理界面。通过构建配边复合到全息缝合的对应字典，研究表明欧几里得作用量与Ryu-Takayanagi公式可一致地分离出普适边界熵（log g）。运用复杂度-作用量提案，研究证明相对重整化方案能从Wheeler-DeWitt作用量中提取出该相同的普适贡献。最后，研究将分析扩展到BTZ黑洞，结果显示后期复杂度增长可通过膜张力编码热内部动力学与边界条件的普适信息。
英文摘要
This work establishes a formal bridge between the organizational principles of TQFTs and the AdS/BCFT correspondence, interpreting end of the world EOW branes as physical interfaces carrying boundary-state data. By developing a dictionary that maps cobordism composition to holographic sewing, we show that the Euclidean action and the Ryu and Takayanagi prescription consistently isolate the universal boundary entropy (log g). Applying the Complexity-Action proposal, we demonstrate that a relative renormalization prescription extracts this same universal contribution from the Wheeler and DeWitt action. Finally, we extend the analysis to BTZ black holes, where the late-time complexity growth is shown to encode both the thermal interior dynamics and the universal information of the boundary conditions via the brane tension.
