Liouville quantum gravity on the Riemann sphere
type: Item
instance of: scholarly article
title: Liouville quantum gravity on the Riemann sphere
zbMATH Open document ID: 1336.83042
author: François David
author: Antti Kupiainen
author: Rémi Rhodes
author: Vincent Vargas
published in: Communications in Mathematical Physics
publication date: 2016-03-24T00:00:00Z
full work available at URL: https://arxiv.org/abs/1410.7318
Mathematics Subject Classification ID: 83E30
Mathematics Subject Classification ID: 83C45
Mathematics Subject Classification ID: 81T20
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 37K65
Mathematics Subject Classification ID: 81T40
Mathematics Subject Classification ID: 60G60
zbMATH DE Number: 6560261
zbMATH Keywords: Liouville quantum field theory
zbMATH Keywords: Riemann sphere
zbMATH Keywords: conformal covariance
zbMATH Keywords: Seiberg bounds
zbMATH Keywords: KPZ scaling laws
zbMATH Keywords: Weyl anomaly
zbMATH Keywords: random planar maps
MaRDI profile type: Publication
OpenAlex ID: W1931441370
arXiv ID: 1410.7318
cites work: Liouville correlation functions from four-dimensional gauge theories
cites work: Quantum Geometry
cites work: Continuity and estimates of the Liouville heat kernel with applications to spectral dimensions
cites work: Random conformal weldings
cites work: KPZ relation does not hold for the level lines and \(\hbox {SLE}_\kappa \) flow lines of the Gaussian free field
cites work: Gaussian multiplicative chaos and KPZ duality
cites work: Diffusion in planar Liouville quantum gravity
cites work: KPZ formula derived from Liouville heat kernel
cites work: A glimpse of the conformal structure of random planar maps
cites work: The Brownian plane
cites work: An introduction to the theory of point processes
cites work: Another derivation of the geometrical KPZ relations
cites work: Two- and three-point functions in Liouville theory
cites work: SLE and the free field: Partition functions and couplings
cites work: Q4932093
cites work: Liouville quantum gravity and KPZ
cites work: Liouville quantum gravity as a mating of trees
cites work: Critical Gaussian multiplicative chaos: convergence of the derivative martingale
cites work: Log-correlated Gaussian Fields: An Overview
cites work: Renormalization of critical Gaussian multiplicative chaos and KPZ relation
cites work: Liouville Brownian motion
cites work: On the heat kernel and the Dirichlet form of Liouville Brownian motion
cites work: Q4328719
cites work: On the Riemann surface type of random planar maps
cites work: Scaling limits for the critical Fortuin-Kasteleyn model on a random planar map. II: Local estimates and empty reduced word exponent
cites work: Analytic continuation of Liouville theory
cites work: Q3729757
cites work: Ward identities in two-dimensional string theory
cites work: Semiclassical limit of Liouville field theory
cites work: Q3105270
cites work: The concentration of measure phenomenon
cites work: Uniqueness and universality of the Brownian map
cites work: Glassy phase and freezing of log-correlated Gaussian potentials
cites work: Liouville heat kernel: regularity and bounds
cites work: The Brownian map is the scaling limit of uniform random plane quadrangulations
cites work: Quantum Loewner evolution
cites work: LIOUVILLE FIELD THEORY: A DECADE AFTER THE REVOLUTION
cites work: R-torsion and the Laplacian on Riemannian manifolds
cites work: Gaussian multiplicative chaos and applications: a review
cites work: KPZ formula for log-infinitely divisible multifractal random measures
cites work: Spectral dimension of Liouville quantum gravity
cites work: Liouville Brownian motion at criticality
cites work: Q3482489
cites work: Q4273730
cites work: On Gaussian multiplicative chaos
cites work: Gaussian free fields for mathematicians
cites work: Conformal weldings of random surfaces: SLE and the quantum gravity zipper
cites work: Prescribing Curvature on Compact Surfaces with Conical Singularities
cites work: A Census of Planar Maps
cites work: Conformal bootstrap in Liouville field theory
DOI: 10.1007/S00220-016-2572-4