标题： 可逆拓扑激发的统计特性 显示英文标题

标题： Statistics of invertible topological excitations

摘要： 在本文中，我们开发了一个数学框架，该框架基于字符串算符和多体希尔伯特空间，推广了任意子统计的概念，以处理任何维度的可逆拓扑激发。 该框架仅建立在量子力学的几个基本事实之上，同时提供了一个新颖、严格且自洽的统计理论。 我们对统计的定义可以直接通过计算机计算，结果与现有的物理理论一致。 显示英文摘要

摘要： In this paper, we develop a mathematical framework that generalizes the concept of anyon statistics, based on string operators and many-body Hilbert space, to invertible topological excitations of any dimensions. This framework is only build on several fundamental facts in quantum mechanics, while providing a novel, rigorous, and self-contained theory of statistics. Our definition of statistics can be computed directly using a computer, and the result aligns with existing physical theories.