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This document summarizes a paper that constructs state spaces and operators for a (3+1)-dimensional topological quantum field theory (TQFT) called the Crane-Yetter model, which allows for line defects. The construction lifts state spaces and operators from the (2+1)-dimensional Turaev-Viro TQFT to the (3+1)-dimensional setting. Different bases for the state spaces are obtained, including a quantum deformed spin network basis that diagonalizes spatial geometry operators, and a dual curvature basis that diago

Author

Vaibhav Wasnik

Language

EN