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In the paper, we review the recent construction of the Liouville conformal field theory (CFT) from probabilistic methods, and the formalization of the conformal bootstrap.
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Quantum groups and quantum cohomology
D. Maulik and A. Okunkov · 2019
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The conformal bootstrap: Theory, numerical techniques, and applications,
D. Poland, S. Rychkov, and A. Vichi · 2019
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Conformal bootstrap in Liouville theory
C. Guillarmou, A. Kupiainen, R. Rhodes, and V. Vargas · 2020
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Integrability of Liouville theory: proof of the DOZZ formula
A. Kupiainen, R. Rhodes, and V. Vargas · 2020
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The Fyodorov-Bouchaud formula and Liouville conformal field theory
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FZZ formula of boundary Liouville CFT via conformal welding
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Segal’s axioms and bootstrap for Liouville Theory
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The moduli of annuli in random conformal geometry
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The Virasoro structure and the scattering matrix for Liouville conformal field theory
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