Construction of the Reshetikhin-Turaev TQFT from conformal field theory

Details Construction of the Reshetikhin-Turaev TQFT from conformal field theory Construction of the Reshetikhin-Turaev TQFT from conformal field theory

2011-10-23

arxiv.org/abs/1110.5027v1

Mathematics

Quantum Algebra

Scientific paper

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 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 Reshetikhin-Turaev from the quantum group associated to SL(N).

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