Integrability of Liouville theory: proof of the DOZZ formula. (English) Zbl 1432.81055

The paper under review is written by experts in the area of Liouville quantum gravity, quantum fields theory, BPZ equations. The main purpose of authors is to prove the equivalence of the Dorn, Otto, Zamolodchikov and Zamolodchkov (DOZZ) formula from a statistical standpoint, namely from the standpoint of Liouville conformal field theory. To my opinion the authors successfully proved the formula.


81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
35B53 Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
81Q50 Quantum chaos
81V17 Gravitational interaction in quantum theory
83C45 Quantization of the gravitational field
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