标题： 从角项得到的引力Rényi熵 显示英文标题

标题： Gravitational Rényi entropy from corner terms

摘要： 我们提供了一种一致的第一性原理方法，使用Hayward角项来计算引力Rényi熵。 对于爱因斯坦引力的欧几里得解，我们通过将包含锥形奇点的流形切开成一个带有角点的楔形，计算Hartle--Hawking态和固定面积态的Rényi熵。 固定面积态的熵泛函等于角项本身，具有平坦的纠缠谱，而泛函的极值化则来自于在微分同胚下角项的变分。 值得注意的是，我们的方法不需要对锥形奇点进行正则化，并自然地扩展到高曲率引力理论。 显示英文摘要

摘要： We provide a consistent first principles prescription to compute gravitational R\'enyi entropy using Hayward corner terms. For Euclidean solutions to Einstein gravity, we compute R\'enyi entropy of Hartle--Hawking and fixed--area states by cutting open a manifold containing a conical singularity into a wedge with a corner. The entropy functional for fixed--area states is equal to the corner term itself, having a flat-entanglement spectrum, while extremization of the functional follows from the variation of the corner term under diffeomorphisms. Notably, our method does not require regularization of the conical singularity, and naturally extends to higher-curvature theories of gravity.