论文标题
二维拓扑量子场理论的Hermitian公理
The Hermitian axiom on two-dimensional topological quantum field theories
论文作者
论文摘要
在本文中，我们研究了Atiyah的Hermitian公理，以了解二维复杂拓扑量子场理论。建立在2D TQFTS和FROBENIUS代数之间的对应关系的基础上，我们发现分别对应于Hermitian和单一TQFTS的代数对象，并证明了有关它们的结构定理。然后，我们使用我们的结构定理阐明了一些旧的TQFT结果。
In this paper, we examine Atiyah's Hermitian axiom for two-dimensional complex topological quantum field theories. Building on the correspondence between 2D TQFTs and Frobenius algebras, we find the algebraic objects corresponding to Hermitian and unitary TQFTs respectively and prove structure theorems about them. We then clarify a few older results on unitary TQFTs using our structure theorems.
