论文标题
尺寸降低,扩展拓扑场理论和轨道化
Dimensional Reduction, Extended Topological Field Theories and Orbifoldization
论文作者
论文摘要
我们证明了一个分解公式,用于降低扩展拓扑场理论的维度,该理论是作为拓扑场理论的Orbifold而产生的。我们的分解公式可以用对群体固定基数的积分分类来表示。我们的结果在Dijkgraaf-witten类型的拓扑领域理论中的应用证明了Qiu-Wang的最新猜想。
We prove a decomposition formula for the dimensional reduction of an extended topological field theory that arises as an orbifold of an equivariant topological field theory. Our decomposition formula can be expressed in terms of a categorification of the integral with respect to groupoid cardinality. The application of our result to topological field theories of Dijkgraaf-Witten type proves a recent conjecture of Qiu-Wang.