Construction of the Witten-Reshetikhin-Turaev TQFT from conformal field theory
arXiv:1110.5027
Abstract
In [AU2] we constructed the vacua modular functor based on the sheaf of vacua theory developed in [TUY] and the abelian analog in [AU1]. We here provide an explicit isomorphism from the modular functor underlying the skein-theoretic model for the Witten-Reshetikhin-Turaev TQFT due to Blanchet, Habbeger, Masbaum and Vogel to the vacua modular functor. This thus provides a geometric construction of the TQFT constructed first by Witten-Reshetikhin-Turaev from the quantum group associated to SL(N).
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Cited by in corpus (8)
- Modular categories as representations of the 3-dimensional bordism 2-category
- Quantization via Linear homotopy types
- A geometric formula for the Witten-Reshetikhin-Turaev Quantum Invariants and some applications
- The skein algebra of arcs and links and the decorated Teichmüller space
- On the monodromy of the Hitchin connection
- Non-Semisimple 3-Manifold Invariants Derived From the Kauffman Bracket
- On the Witten--Reshetikhin--Turaev invariants of torus bundles
- The homological content of the Jones representations at