ON THE RELATION BETWEEN QUANTUM LIOUVILLE THEORY AND THE QUANTIZED TEICHMÜLLER SPACES
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Publication:3370334
DOI10.1142/S0217751X04020579zbMath1080.81061arXivhep-th/0303149MaRDI QIDQ3370334
Publication date: 7 February 2006
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0303149
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of deformations of analytic structures to the sciences (32G81) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15)
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Cites Work
- Classical and quantum conformal field theory
- The decorated Teichmüller space of punctured surfaces
- Infinite conformal symmetry in two-dimensional quantum field theory
- Quantization of Teichmüller spaces and the quantum dilogarithm
- On the Lego-Teichmüller game
- $\Lambda$ < 0 quantum gravity in 2 $plus$ 1 dimensions: I. Quantum states and stringy S-matrix
- On the Weil-Petersson Geometry of the Moduli Space of Curves
- ON UNIFORMIZATION OF RIEMANN SURFACES AND THE WEIL-PETERSSON METRIC ON TEICHMÜLLER AND SCHOTTKY SPACES
- Liouville theory revisited
- Presentation and central extensions of mapping class groups
- Boundary Liouville field theory: boundary three-point function
- Clebsch-Gordan and Racah-Wigner coefficients for a continuous series of representations of \(\mathcal U_q(\mathfrak{sl}(2,\mathbb R))\)
