标题： 动态边缘模式在$p$形变规范理论中 显示英文标题

标题： Dynamical Edge Modes in $p$-form Gauge Theories

摘要： 我们将最近识别出的动力学边缘模边界条件扩展到$p$形规范理论，揭示了它们的边缘模作为从在边界上具有支撑的规范变换中产生的戈德斯通玻色子。这些边缘模的辛共轭对应于垂直于边界的电场类分量。我们证明了辛形式和哈密顿量自然分解为体部分和边缘部分。当边界是拉伸视界时，我们表明热边缘划分函数退化为在分叉表面上存在的二维鬼魂$(p-1)$形的划分函数。这些发现提供了一个动力学框架，阐明了几位作者的观察结果。此外，我们将 Donnelly 和 Wall 的非动力学方法推广，以获得质量体和无质量$p$形的边缘划分函数。在德西特静态区域的背景下，这些结果与几位作者在任意维度中找到的边缘划分函数一致。 显示英文摘要

摘要： We extend our recently identified dynamical edge mode boundary condition to $p$-form gauge theories, revealing their edge modes as Goldstone bosons arising from gauge transformations with support on the boundary. The symplectic conjugates of these edge modes correspond to the electric-field-like components normal to the boundary. We demonstrate that both the symplectic form and the Hamiltonian naturally decompose into bulk and edge parts. When the boundary is a stretched horizon, we show that the thermal edge partition function reduces to that of a codimension-two ghost $(p-1)$-form residing on the bifurcation surface. These findings provide a dynamical framework that elucidates observations made by several authors. Additionally, we generalize Donnelly and Wall's non-dynamical approach to obtain edge partition functions for both massive and massless $p$-forms. In the context of a de Sitter static patch, these results are consistent with the edge partition functions found by several authors in arbitrary dimensions.