宇宙学常数：一种范畴观
The Cosmological Constant: A Categorical View
摘要：
回顾了上世纪80、90年代有关宇宙学常数的一些理论结果。这些结果表现出一些有趣的潜在模式时，从范畴理论的角度来看。在这样做的时候，我们说明如何贝兹和多兰的周期表的$k$ -tuply monoidal $n$ -范畴可以作为一个基本框架的量子时空结构。解释，我们显示如何爱因斯坦引力（与宇宙学常数打开）出现时，我们去分类某些$2$ -tuply monoidal $2$ -类别正确，作为起重机提出了很久以前。特别是，我们发现，最近的一些工作顶点算子代数和4-流形很好地适合这个框架。
英文摘要：
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.
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