Local conformal structure of Liouville quantum gravity

DOI10.1007/s00220-018-3260-3zbMath1480.83053arXiv1512.01802OpenAlexW2962883350MaRDI QIDQ2007751

Rémi Rhodes, Vincent Vargas, Antti Kupiainen

Publication date: 22 November 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01802

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45)

Related Items (16)

Path integral for quantum Mabuchi K-energy ⋮ Multiple backward Schramm-Loewner evolution and coupling with Gaussian free field ⋮ Ward identities in the \(\mathfrak{sl}_3\) Toda conformal field theory ⋮ Integrability of boundary Liouville conformal field theory ⋮ The Fyodorov-Bouchaud formula and Liouville conformal field theory ⋮ The distribution of Gaussian multiplicative chaos on the unit interval ⋮ A family of probability distributions consistent with the DOZZ formula: towards a conjecture for the law of 2D GMC ⋮ A second-quantized Kolmogorov-Chentsov theorem via the operator product expansion ⋮ Liouville quantum gravity with matter central charge in (1, 25): a probabilistic approach ⋮ Probabilistic construction of Toda conformal field theories ⋮ Smoothness of correlation functions in Liouville conformal field theory ⋮ Stress-energy in Liouville conformal field theory ⋮ The tail expansion of Gaussian multiplicative chaos and the Liouville reflection coefficient ⋮ Modular bootstrap agrees with the path integral in the large moduli limit ⋮ The semiclassical limit of Liouville conformal field theory ⋮ Unit boundary length quantum disk: a study of two different perspectives and their equivalence

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