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

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abstract

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.

fields

hep-th 1

years

2025 1

verdicts

CONDITIONAL 1

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

hep-th · 2025-04-23 · conditional · novelty 6.0

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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  • Hamiltonian quantization of complex Chern-Simons theory at level-$k$ hep-th · 2025-04-23 · conditional · none · ref 38 · internal anchor

    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.