具有一般边界条件的全息共形场论中的纠缠熵
Entanglement entropy in holographic CFTs with generic boundaries
- Hetao Institute of Mathematics and Interdisciplinary Sciences（深圳河套数学与交叉科学研究院）
- Department of Physics and Astronomy, Ghent University（根特大学物理与天文学系）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
研究具有一般时空符号边界条件的全息共形场论中的纠缠熵，证明需将全息对偶扩展到复坐标才能精确匹配二维边界预言，并给出数值检验。
AI中文摘要：
具有一般时空符号边界条件的全息共形场论中的纠缠熵无法完全在标准全息对偶到实体体时空的框架内描述。我们证明，在静态和含时设置中，要在二维边界上与共形场论预言精确匹配，需要将对偶时空扩展到复坐标。因此，相关的体对象（如Ryu-Takayanagi曲面和膜）通常为复数，但仍锚定在实渐近边界上，从而保持场论量的物理意义。我们还提供了对全息预言的第三次数值检验，使用二维自由高斯费米子系统，该系统在不同纠缠相中表现出相同的渐近行为。
英文摘要：
Entanglement entropy in holographic conformal field theories with boundaries of generic spacetime signature cannot be described entirely within the standard holographic duality to a real bulk spacetime. We show, both in static and time-dependent setups, that an exact match with the conformal field theory predictions in two boundary dimensions entails an extension of the dual spacetime to complex coordinates. As a consequence, relevant bulk objects such as Ryu-Takayanagi surfaces and branes are in general complex, yet anchored on a real asymptotic boundary preserving the physical meaning of field-theoretical quantities. We also provide a third numerical check of the holographic prediction with a two-dimensional system of free Gaussian fermions exhibiting the same asymptotic regimes across different entanglement phases.
