发表机构
College of Physics Sichuan University; Department of Physics Chongqing University（四川大学物理学院; 重庆大学物理系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文建立弦荷密度与比特线流的对应，通过世界面电流计算黑洞熵，并在IIB型S对偶下验证不变性，提出D1-D5边界匹配猜想，统一解释纠缠熵与黑洞熵的相等性。
AI 中文摘要
我们将守恒弦荷密度的空间投影与比特线流等同起来。这种对应关系赋予比特线以弦世界面的描述，并使我们能够通过由世界面导出的电流的最大熵通量来计算黑洞熵。我们首先重现了BTZ熵，然后将该构造扩展到十维F1-NS5-P和D1-D5-P系统。在IIB型S对偶下，F1电流映射到D1电流。尽管局部电流、度量和流范数发生变化，但最大物理通量保持不变，并给出相同的熵。这为对应关系提供了一个非平凡的检验。最后，我们提出了一个D1-D5边界匹配猜想。在粗粒化图像中，每条弦荷线定义了一个携带熵的管。边界CFT纠缠熵和体黑洞熵都固定了管数量与每根管携带的最大熵的乘积。对于固定的管离散化，它们为每根管分配相同的容量。因此，它们描述了相同的守恒最大熵通量，为纠缠熵与黑洞熵之间的相等性提供了信息流解释。
英文摘要
We identify the spatial projection of a conserved string charge density with a bit-thread flow. This correspondence gives bit threads a string worldsheet description and allows us to compute black hole entropy from the maximal entropy flux of a worldsheet-derived current. We first reproduce the BTZ entropy and then extend the construction to the ten-dimensional F1-NS5-P and D1-D5-P systems. Under Type IIB S-duality, the F1 current maps to the D1 current. Although the local currents, metrics, and flow norms change, the maximal physical flux remains unchanged and gives the same entropy. This provides a nontrivial check of the correspondence. Finally, we propose a D1-D5 boundary-matching conjecture. In the coarse-grained picture, each string-charge line defines an entropy-carrying tube. The boundary CFT entanglement entropy and the bulk black hole entropy both fix the product of the number of tubes and the maximum entropy carried by each tube. For a fixed tube discretization, they assign the same capacity to each tube. They therefore describe the same conserved maximal entropy flux, providing an information-flow interpretation of the equality between entanglement entropy and black hole entropy.
CommentsV2: 53 pages, 5 figures, references added
