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Modular Double of Quantum Group

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arxiv math/9912078 v1 pith:2OG6G2EN submitted 1999-12-10 math.QA hep-th

Ludvig Faddeev This is my paper · ORCID
classification math.QAhep-th
keywords quantumgroupparameterdescribeddoubledualextensiongroups
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An extension of Quantum Group is described. We propose to unite the quantum groups with parameter q and with parameter modularly dual to q.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 12 citations worldwide. Full citation record

  1. On the Virasoro Crossing Kernels at Rational Central Charge

    hep-th 2025-12 conditional novelty 8.0 of 10

    At rational central charge, the Virasoro crossing kernels decompose into two admissible square-root-branched kernels; the physical c≤1 kernels are derived for the first time.

  2. QG from SymQRG: AdS$_3$/CFT$_2$ Correspondence as Topological Symmetry-Preserving Quantum RG Flow

    hep-th 2024-12 conditional novelty 7.0 of 10

    A framework called SymQRG identifies 3D quantum gravity as the symmetry-preserving RG flow of 2D CFTs, realized discretely by U_q(SL(2,R)) 6j symbols.

  3. Probing the singularity at the holographic screen via $q$-holography

    hep-th 2025-07 conditional novelty 6.0 of 10

    The probe-regime two-point function of sinh dilaton gravity matches the q-deformed Ward identity correlator, indicating an emergent quantum hyperbolic disk with SLq(2) isometry near the holographic boundary.

  4. Minimal Factorization of Chern-Simons Theory -- Gravitational Anyonic Edge Modes

    hep-th 2025-05 unverdicted novelty 6.0 of 10

    Minimal edge modes compatible with Chern-Simons topological invariance are proposed as quantum group particles, yielding a factorization of 3d gravity state space that matches proposals linking Bekenstein-Hawking entr...

  5. Ruijsenaars spectral transform

    math-ph 2024-11 reject novelty 6.0 of 10

    The Ruijsenaars spectral transform, a many-variable Fourier generalization, is claimed to have an inversion formula for complex parameters and to be unitary in four parameter regimes.

  6. The holonomy braiding for $\mathcal{U}_\xi(\mathfrak{sl}_2)$ in terms of geometric quantum dilogarithms

    math.QA 2025-09 unverdicted novelty 5.0 of 10

    Derives explicit factorization of the holonomy R-matrix for U_ξ(sl₂) at a root of unity into four geometric quantum dilogarithms satisfying a holonomy Yang-Baxter equation.

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