# Equivalence of field theories: Crane-Yetter and the shadow

@inproceedings{Guu2022EquivalenceOF, title={Equivalence of field theories: Crane-Yetter and the shadow}, author={Jin-Cheng Guu}, year={2022} }

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-ReshetikhinTuraev 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…

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