Three-dimensional quantum gravity from the quantum pseudo-Kähler plane

DOI10.1007/s00220-023-04783-wzbMath1522.30023arXiv2112.13962MaRDI QIDQ6135932

Hyun Kyu Kim

Publication date: 28 August 2023

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.13962

zbMATH Keywords

quantum groupdeformation quantization of \(\mathbb{C}^2\)

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Cites Work

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• The dilogarithmic central extension of the Ptolemy-Thompson group via the Kashaev quantization
• Ratio coordinates for higher Teichmüller spaces
• Quantum Teichmüller space from the quantum plane
• The quantum dilogarithm and representations of quantum cluster varieties
• Operator representations of \(\mathbb{R}_ q^ 2\)
• Quantization of Teichmüller spaces and the quantum dilogarithm
• Finite dimensional quantum Teichmüller space from the quantum torus at root of unity
• Discrete Heisenberg-Weyl group and modular group
• Phase constants in the Fock-Goncharov quantum cluster varieties
• A concise course on stochastic partial differential equations
• Quantum Teichmüller spaces and Kashaev's \(6j\)-symbols
• QUANTUM DILOGARITHM AS A 6j-SYMBOL
• A unitary joint eigenfunction transform for the AOs exp(ia±d/dz) + exp(2z/a)
• Central extensions of the Ptolemy-Thompson group and quantized Teichmüller theory
• QUANTUM DILOGARITHM
• QUANTUM EXPONENTIAL FUNCTION
• On tensor products of positive representations of split real quantum Borel subalgebra $\mathcal {U}_{q\widetilde {q}}(\mathfrak {b}_\mathbb {R})$
• Quantum Theory for Mathematicians
• A Reproducing Kernel and Toeplitz Operators in the Quantum Plane
• A quantum Teichmüller space
• Strongly coupled quantum discrete Liouville theory. I: Algebraic approach and duality
• Clebsch-Gordan and Racah-Wigner coefficients for a continuous series of representations of \(\mathcal U_q(\mathfrak{sl}(2,\mathbb R))\)

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