论文标题
宇宙常数：分类观点
The Cosmological Constant: A Categorical View
论文作者
论文摘要
回顾了与上个世纪80年代和90年代获得的宇宙常数有关的一些理论结果。从类别理论的角度观察时，这些结果表现出一些有趣的潜在模式。在此过程中，我们说明了Baez和Dolan的周期性表格$ k $ tuply y Monoidal $ n $ - 类别可以用作量子时空结构的基本框架。明确地，当我们将某些$ 2 $ 2 $ tuply $ 2 $ 2 $ 2 $分类的分类列为分类时，我们表明爱因斯坦重力（随着宇宙的常数打开）是如何出现的。特别是，我们发现有关顶点操作员代数和4个manifolds的一些最新工作非常适合该框架。
Some theoretic results related to the cosmological constant, obtained in the 80's and 90's of last century, are reviewed. These results exhibit some interesting underlying pattern when viewed from a category-theoretic perspective. In doing this, we illustrate how Baez and Dolan's Periodic Table of $k$-tuply monoidal $n$-categories can serve as a basic framework of a quantum spacetime structure. Explicitly, we show how Einstein gravity (with the cosmological constant turned on) emerges when we de-categorify certain $2$-tuply monoidal $2$-categories properly, as Crane proposed a long time ago. In particular, we find that some recent work on Vertex Operator Algebras and 4-manifolds fits nicely into this framework.
