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arXiv · 1302.3454

On the relation between the modular double of U_q(sl(2,R)) and the quantum Teichmueller theory

I. Nidaiev·J. Teschner
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Abstract

We exhibit direct relations between the modular double of U_q(sl(2,R)) and the quantum Teichmueller theory. Explicit representations for the fusion- and braiding operations of the quantum Teichmueller theory are immediate consequences. Our results include a simplified derivation of the Clebsch-Gordan decomposition for the principal series of representation of the modular double of U_q(sl(2,R)).

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I. Nidaiev, J. Teschner. 2013-02-14. On the relation between the modular double of U_q(sl(2,R)) and the quantum Teichmueller theory. https://arxiv.org/abs/1302.3454

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