Quantization of moduli spaces of flat connections and Liouville theory
J. Teschner
TL;DR
This paper reviews the connections between conformal field theory, the quantization of moduli spaces of flat connections, and quantum Teichmueller theory, highlighting their interrelations and recent developments.
Contribution
It synthesizes known results to clarify the relationships among these mathematical and physical theories, emphasizing their interconnected nature.
Findings
Clarified the link between conformal field theory and moduli space quantization
Summarized key results in quantum Teichmueller theory
Highlighted the interplay between geometry and quantum physics
Abstract
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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