论文标题
现场理论的等效性：起重机和阴影
Equivalence of field theories: Crane-Yetter and the shadow
论文作者
论文摘要
多年来，澄清两个平滑的4个manifolds不变性的关系已经开放了多年，阴影模型（由统计力学[TUR91]动机）和简单的起重机模型（由拓扑量子量子理论[CY93]动机），这两种模型均为3d witten-witten-witten-Reshetikhin-turaev模型。尽管它们的起源和正式结构似乎有所不同，但我们表明它们实际上是平等的。 在此过程中，我们在阴影模型和Crane-theTer模型之间绘制了一条字典，对Shadow Construction a La Turaev进行了简短的调查，并再次建议半圣经模型达到了极限。
It has been open for years to clarify the relationship between two smooth 4-manifolds invariants, the shadow model (motivated by statistical mechanics [Tur91]) and the simplicial Crane-Yetter model (motivated by topological quantum field theory [CY93]), both of which degenerate to the 3D Witten-Reshetikhin-Turaev model in a special case. Despite the seeming difference in their origins and formal constructions, we show that they are in fact equal. Along the way, we sketch a dictionary between the shadow model and the Crane-Yetter model, provide a brief survey to the shadow construction a la Turaev, and suggest once again that the semisimple models have reached their limits.
