Quantization of moduli spaces of flat connections and Liouville theory

J. Teschner

Quantization of moduli spaces of flat connections and Liouville theory

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arxiv 1405.0359 v1 pith:2HW6LLEE submitted 2014-05-02 math-ph hep-thmath.MP

J. Teschner This is my paper

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keywords theoryconnectionsflatmoduliquantizationspacesconformalfield

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We review known results on the relations between conformal field theory, the quantization of moduli spaces of flat PSL(2,R)-connections on Riemann surfaces, and the quantum Teichmueller theory.

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Conformal Turaev-Viro Theory
hep-th 2025-07 conditional novelty 6.0 of 10

Conformal Turaev-Viro theory is a triangulation-based dual to Virasoro TQFT whose partition function equals the modular S-transform of |Z_Vir|^2.

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