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3j-symbol for the modular double of SL_q(2,R) revisited

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arxiv 1302.5400 v2 pith:S673AKDG submitted 2013-02-21 math-ph hep-thmath.MP

S.E.Derkachov , L.D.Faddeev This is my paper · ORCID
classification math-phhep-thmath.MP
keywords doublemodularrepresentationsconsidereddecompositionderivationdetailedgive
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Modular double of quantum group SL_q(2,R) with |q|=1 has a series of selfadjoint irreducible representations parameterized by s. Ponsot and Teschner considered a decomposition of the tensor product of two representations into irreducibles. In our paper we give more detailed derivation and some new proofs.

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  1. Hamiltonian quantization of complex Chern-Simons theory at level-$k$

    hep-th 2025-04 conditional novelty 6.0 of 10

    The physical Hilbert space of complex Chern-Simons theory on an m-holed sphere at even level carries a Fenchel-Nielsen representation in which Wilson loops along pants-decomposition cuts act as multiplication operators.

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