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There is a substantial literature concerning Liouville quantum gravity (LQG) in two dimensions with conformal matter field of central charge ${\mathbf{c}}_{\mathrm M}\in(-\infty,1]$.
Bounds for distances and geodesic dimension in Liouville first passage percolation
E. Gwynne and J. Pfeffer · 1903
Earlier work this paper cites.
A probabilistic approach of ultraviolet renormalisation in the boundary Sine-Gordon model
H. Lacoin, R. Rhodes, and V. Vargas · 1903
Earlier work this paper cites.
Comparison of discrete and continuum Liouville first passage percolation
M. Ang · 1904
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Tightness of Liouville first passage percolation for γ ∈ ( 0 , 2 ) \gamma\in(0,2)
J. Ding, J. Dubédat, A. Dunlap, and H. Falconet · 1904
Earlier work this paper cites.
Stochastic Ricci Flow on Compact Surfaces
J. Dubédat and H. Shen · 1904
Earlier work this paper cites.
Weak LQG metrics and Liouville first passage percolation
J. Dubédat, H. Falconet, E. Gwynne, J. Pfeffer, and X. Sun · 1905
Earlier work this paper cites.
Conformal covariance of the Liouville quantum gravity metric for γ ∈ ( 0 , 2 ) \gamma\in(0,2)
E. Gwynne and J. Miller · 1905
Earlier work this paper cites.
Existence and uniqueness of the Liouville quantum gravity metric for γ ∈ ( 0 , 2 ) \gamma\in(0,2)
E. Gwynne and J. Miller · 1905
Earlier work this paper cites.
KPZ formulas for the Liouville quantum gravity metric
E. Gwynne and J. Pfeffer · 1905
Earlier work this paper cites.
Convergence of uniform triangulations under the Cardy embedding
N. Holden and X. Sun · 1905
Earlier work this paper cites.
Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity
J. Barkley and T. Budd · 1908
Earlier work this paper cites.
The dimension of the boundary of a Liouville quantum gravity metric ball
E. Gwynne · 1909
Earlier work this paper cites.
Mating of trees for random planar maps and Liouville quantum gravity: a survey
E. Gwynne, N. Holden, and X. Sun · 1910
Earlier work this paper cites.
Quantum geometry of bosonic strings
A. M. Polyakov · 1981
Earlier work this paper cites.
Critical Behavior in a Model of Planar Random Surfaces
B. Durhuus, J. Frohlich, and T. Jonsson · 1984
Earlier work this paper cites.
Sur le chaos multiplicatif
J.-P. Kahane · 1985
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The appearance of critical dimensions in regulated string theories. II
J. Ambjørn, B. Durhuus, and J. Fröhlich · 1986
Earlier work this paper cites.
Scaling properties of randomly triangulated planar random surfaces: a numerical study
A. Billoire and F. David · 1986
Earlier work this paper cites.
Analytical and numerical study of a model of dynamically triangulated random surfaces
D. V. Boulatov, V. A. Kazakov, I. K. Kostov, and A. A. Migdal · 1986
Earlier work this paper cites.
Multiloop amplitudes for the bosonic Polyakov string
E. D’Hoker and D. H. Phong · 1986
Earlier work this paper cites.
Critical exponents in a model of dynamically triangulated random surfaces
F. David, J. Jurkiewicz, A. Krzywicki, and B. Petersson · 1987
Earlier work this paper cites.
The Liouville field theory of random surfaces: when is the bosonic string a branched polymer?
M. E. Cates · 1988
Earlier work this paper cites.
Conformal field theories coupled to 2-D gravity in the conformal gauge
F. David · 1988
Earlier work this paper cites.
Fractal structure of 2D-quantum gravity
V. Knizhnik, A. Polyakov, and A. Zamolodchikov · 1988
Earlier work this paper cites.
Conformal field theory and 2D quantum gravity
J. Distler and H. Kawai · 1989
Earlier work this paper cites.
The continuum random tree. I
D. Aldous · 1991
Earlier work this paper cites.
The continuum random tree. II. An overview
D. Aldous · 1991
Earlier work this paper cites.
A naive matrix-model approach to 2D quantum gravity coupled to matter of arbitrary central charge
E. Brézin and S. Hikami · 1992
Earlier work this paper cites.
A Numerical Test of Kpz Scaling:. Potts Models Coupled to Two-Dimensional Quantum Gravity
C. F. Baillie and D. A. Johnston · 1992
Earlier work this paper cites.
Numerical study of c > > 1 matter coupled to quantum gravity
S. Catterall, J. Kogut, and R. Renken · 1992
Earlier work this paper cites.
Analytic study of fractal structure of quantized surface in two-dimensional quantum gravity
Y. Watabiki · 1992
Earlier work this paper cites.
Matter fields with c > > 1 coupled to 2d gravity
J. Ambjørn, B. Durhuus, T. Jónsson, and G. Thorleifsson · 1993
Earlier work this paper cites.
The continuum random tree. III
D. Aldous · 1993
Earlier work this paper cites.
Remarks about c > 1 c>1 and D > 2 D>2
J. Ambjørn · 1994
Earlier work this paper cites.
Two- and three-point functions in Liouville theory
H. Dorn and H.-J. Otto · 1994
Earlier work this paper cites.
Touching random surfaces and Liouville gravity
I. R. Klebanov · 1995
Cited alongside, same era.
Conformal bootstrap in Liouville field theory
A. Zamolodchikov and A. Zamolodchikov · 1996
Cited alongside, same era.
A scenario for the c > 1 c>1 barrier in non-critical bosonic strings
F. David · 1997
Cited alongside, same era.
A note on quantum liouville theory via the quantum group an approach to strong coupling liouville theory
T. Suzuki · 1997
Cited alongside, same era.
Strongly Coupled Quantum Discrete Liouville Theory.I: Algebraic Approach and Duality
L. D. Faddeev, R. M. Kashaev, and A. Y. Volkov · 2001
Cited alongside, same era.
Strongly coupled quantum discrete Liouville theory: II. Geometric interpretation of the evolution operator
L. D. Faddeev and R. M. Kashaev · 2002
Minkowski content and natural parameterization for the Schramm-Loewner evolution
G. F. Lawler and M. A. Rezaei · 2015
Later among the works it cites.
Liouville quantum gravity and the Brownian map I: The QLE(8/3,0) metric
J. Miller and S. Sheffield · 2015
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Liouville theory with a central charge less than one
S. Ribault and R. Santachiara · 2015
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KPZ formula derived from Liouville heat kernel
N. Berestycki, C. Garban, R. Rhodes, and V. Vargas · 2016
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Peeling random planar maps. Notes du cours Peccot
N. Curien · 2016
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Cited alongside, same era.
A lecture on the Liouville vertex operators
J. Teschner · 2004
Cited alongside, same era.
Three-point function in the minimal Liouville gravity
A. B. Zamolodchikov · 2005
Cited alongside, same era.
Gaussian free fields for mathematicians
S. Sheffield · 2007
Cited alongside, same era.
The dimension of the SLE curves
V. Beffara · 2008
Cited alongside, same era.
KPZ in one dimensional random geometry of multiplicative cascades
I. Benjamini and O. Schramm · 2009
Cited alongside, same era.
A rigorous perspective on Liouville quantum gravity and the KPZ relation
B. Duplantier · 2010
Cited alongside, same era.
J. Ding and S. Goswami · 2016
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Liouville quantum gravity on the Riemann sphere
F. David, A. Kupiainen, R. Rhodes, and V. Vargas · 2016
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Liouville quantum gravity on complex tori
F. David, R. Rhodes, and V. Vargas · 2016
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Polyakov’s formulation of 2 d 2d bosonic string theory
C. Guillarmou, R. Rhodes, and V. Vargas · 2016
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Three-point functions in c ≤ 1 c\leq 1 Liouville theory and conformal loop ensembles
Y. Ikhlef, J. L. Jacobsen, and H. Saleur · 2016
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Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding
J. Miller and S. Sheffield · 2016
Later among the works it cites.
Liouville quantum gravity and the Brownian map III: the conformal structure is determined
J. Miller and S. Sheffield · 2016
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Imaginary geometry I: interacting SLEs
J. Miller and S. Sheffield · 2016
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Conformal weldings of random surfaces: SLE and the quantum gravity zipper
S. Sheffield · 2016
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Gaussian multiplicative chaos through the lens of the 2D Gaussian free field
J. Aru · 2017
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An elementary approach to Gaussian multiplicative chaos
N. Berestycki · 2017
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A mating-of-trees approach for graph distances in random planar maps
E. Gwynne, N. Holden, and X. Sun · 2017
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E. Gwynne and J. Miller · 2017
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The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity
E. Gwynne, J. Miller, and S. Sheffield · 2017
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Integrability of Liouville theory: proof of the DOZZ Formula
A. Kupiainen, R. Rhodes, and V. Vargas · 2017
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Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees
J. Miller and S. Sheffield · 2017
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Subsequential scaling limits for Liouville graph distance
J. Ding and A. Dunlap · 2018
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The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds
J. Ding and E. Gwynne · 2018
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J. Ding and L. Li · 2018
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Heat kernel for Liouville Brownian motion and Liouville graph distance
J. Ding, O. Zeitouni, and F. Zhang · 2018
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C. Garban · 2018
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An invariance principle for ergodic scale-free random environments
E. Gwynne, J. Miller, and S. Sheffield · 2018
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Liouville quantum gravity on the unit disk
Y. Huang, R. Rhodes, and V. Vargas · 2018
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Path integral approach to analytic continuation of Liouville theory: the pencil region
Y. Huang · 2018
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Imaginary multiplicative chaos: Moments, regularity and connections to the Ising model
J. Junnila, E. Saksman, and C. Webb · 2018
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Decompositions of log-correlated fields with applications
J. Junnila, E. Saksman, and C. Webb · 2018
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Liouville quantum gravity on the annulus
G. Remy · 2018
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Minimal lectures on two-dimensional conformal field theory
S. Ribault · 2018
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Liouville quantum gravity spheres as matings of finite-diameter trees
J. Miller and S. Sheffield · 2019
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