标题： 在拓扑量子场论中的有限群全局和规范$q$-形式对称性 显示英文标题

标题： On finite group global and gauged $q$-form symmetries in TQFT

摘要： 我们描述了一种方法，将有限群全局和规范化的$q$-形式对称性纳入$d$维拓扑量子场论（TQFT）的公理结构中，通过边界的同调类装饰的 bordisms 来表示。具体来说，在具有边界的流形上，规范场被视为适当相对同调群中的一个类。其定义方式允许流形的一致切割和粘合，并涉及边界中$(d-q-2)$-骨架的选择。这种方法在某种意义上推广了文献中针对$d=3,\;q=0,1$的情况所考虑的方法，适用于任意的$d$和$q$。 显示英文摘要

摘要： We describe a method to implement finite group global and gauged $q$-form symmetries into the axiomatic structure of $d$-dimensional Topological Quantum Field Theory (TQFT) in terms of bordisms decorated by cohomology classes. Namely, on a manifold with a boundary, the gauge field is considered as a class in an appropriate relative cohomology group. It is defined in a way that allows self-consistent cutting and gluing of the manifolds and involves a choice of a $(d-q-2)$-skeleton in the boundary. The method, in a sense, generalizes to arbitrary $d$ and $q$ a method that has been considered in the literature in the case of $d=3,\;q=0,1$.