AI 中文总结
本文构建开放世界面 junction 框架，解决量子霍尔界面端点自洽性问题，给出 QH 膜操作性定义，为动力学 QH 界面理论提供系统基础。
AI 中文摘要
自由运动的量子霍尔（QH）界面可终止于物理边缘或拓扑边界，但固定边缘理论无法确定使这种终止自洽的端点数据。本文构建了开放世界面 junction 框架，将嵌入、材料电荷、反常流与拓扑边界条件整合在一起。端点由几何支撑、变分边界数据、可凝聚拓扑扇区及吸收或延续世界面通量所需的任何出射通道共同指定。该构造将电荷-形状关系扩展到区间，解释了为何单个手性马约拉纳费米子无法终止于有限维端点自由度，它给出了 QH 膜的操作性定义，为动力学 QH 界面的端点与网络理论提供了系统基础。
英文摘要
A freely moving quantum Hall (QH) interface may end on a physical edge or topological boundary, but fixed-edge theory cannot determine what endpoint data make such a termination consistent. Here we formulate an open-worldsheet junction framework in which the embedding, material charge, anomaly flow, and topological boundary condition are organized together. The endpoint is specified by a geometric support and variational boundary data, together with condensable topological sectors and any outgoing channels required to absorb or continue the worldsheet flux. This construction extends the charge--shape relation to an interval and shows why a lone chiral Majorana cannot terminate on a finite-dimensional endpoint degree of freedom. It gives an operational definition of a QH brane and a systematic basis for endpoint and network theories of dynamical QH interfaces.
Comments11 pages, 1 figure
