AI 中文总结
本文针对自由移动界面的非相对论世界面构建了空间重参数化不变的马约拉纳理论，确定普适半密度输运定律，明确马约拉纳应力张量的媒介作用，为动力学非阿贝尔量子霍尔界面有效理论提供中性部分。
AI 中文摘要
Moore-Read界面的边界携带手性马约拉纳模式，其几何结构本身可能发生波动。固定边理论未确定该中性模式在界面弯曲和移动时的输运方式，也未确定其动力学与波动形状的耦合方式。本文中，我们在自由移动界面的非相对论世界面上构建了空间重参数化不变的马约拉纳理论。变化的线元确定了普适的半密度输运定律，而额外的依赖曲率和速度的耦合仍由微观界面物理控制。所得框架将马约拉纳应力张量识别为中性动力学与几何动力学之间的媒介，并为动力学非阿贝尔量子霍尔界面的有效理论提供了所需的中性部分。
英文摘要
A Moore--Read interface carries a chiral Majorana mode on a boundary whose geometry may itself fluctuate. Fixed-edge theory does not determine how this neutral mode should be transported when the interface bends and moves, or how its dynamics couples to the fluctuating shape. Here we construct a spatially reparametrization-invariant Majorana theory on the nonrelativistic worldsheet of a freely moving interface. The changing line element fixes a universal half-density transport law, while additional curvature- and velocity-dependent couplings remain controlled by microscopic interface physics. The resulting framework identifies the Majorana stress tensor as the mediator between neutral and geometric dynamics and provides the neutral sector needed for effective theories of dynamical non-Abelian quantum Hall interfaces.
Comments12 pages, no figures
