论文标题
代数量子场理论的分类
Categorification of algebraic quantum field theories
论文作者
论文摘要
本文开发了一个两类代数量子场理论（2AQFTS）的概念，该理论（2AQFTS）将本地呈现的线性类别分配给空间。事实证明，普通的AQFTS将其嵌入一个核心完整的2-辅助类别中，以2 aqfts的2类分类。通过这种嵌入的2AQFTS的示例是由有限群体的本地测量构造构建的，该构建有限群体，该构造接受了Orbifold理论的物理解释。开发了Fredenhagen的通用代数的分类，并为2AQFTS的简单示例进行了计算。
This paper develops a concept of 2-categorical algebraic quantum field theories (2AQFTs) that assign locally presentable linear categories to spacetimes. It is proven that ordinary AQFTs embed as a coreflective full 2-subcategory into the 2-category of 2AQFTs. Examples of 2AQFTs that do not come from ordinary AQFTs via this embedding are constructed by a local gauging construction for finite groups, which admits a physical interpretation in terms of orbifold theories. A categorification of Fredenhagen's universal algebra is developed and also computed for simple examples of 2AQFTs.
