Spin Models, TQFTs and Their Hierarchical Structure
State sum models based on the recoupling theory of SU(2) angular momenta can be defined in any dimension d, and the corresponding hierarchy includes the Ponzano-Regge model in d = 3 and the Crane-Yetter invariant in d = 4. Here we establish an equivalence between each of these spin models and a corresponding B F theory by exploiting suitable d-dimensional generalizations of the Ooguri’s approach in d = 3.
KeywordsPartition Function Flat Connection Auxiliary Surface Topological Quantum Field Theory Contractible Loop
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