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Physics considerations suggest that a theory of Liouville quantum gravity (LQG) should exist for all values of matter central charge $\mathbf{c} \in (-\infty,25)$.
Liouville quantum gravity with matter central charge in (1, 25): a probabilistic approach
E. Gwynne, N. Holden, J. Pfeffer, and G. Remy · 1903
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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
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Weak LQG metrics and Liouville first passage percolation
J. Dubédat, H. Falconet, E. Gwynne, J. Pfeffer, and X. Sun · 1905
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Conformal covariance of the Liouville quantum gravity metric for γ ∈ ( 0 , 2 ) \gamma\in(0,2)
E. Gwynne and J. Miller · 1905
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Local metrics of the Gaussian free field
E. Gwynne and J. Miller · 1905
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Confluence of geodesics in Liouville quantum gravity for γ ∈ ( 0 , 2 ) \gamma\in(0,2)
E. Gwynne and J. Miller · 1905
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Existence and uniqueness of the Liouville quantum gravity metric for γ ∈ ( 0 , 2 ) \gamma\in(0,2)
E. Gwynne and J. Miller · 1905
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The Dimension of the Boundary of a Liouville Quantum Gravity Metric Ball
E. Gwynne · 1909
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Upper semicontinuous functions and the Stone approximation theorem
G. Beer · 1982
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Critical Behavior in a Model of Planar Random Surfaces
B. Durhuus, J. Frohlich, and T. Jonsson · 1984
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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
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The Liouville field theory of random surfaces: when is the bosonic string a branched polymer?
M. E. Cates · 1988
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Conformal field theories coupled to 2-D gravity in the conformal gauge
F. David · 1988
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Conformal field theory and 2D quantum gravity
J. Distler and H. Kawai · 1989
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The continuum random tree. I
D. Aldous · 1991
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The continuum random tree. II. An overview
D. Aldous · 1991
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A naive matrix-model approach to 2D quantum gravity coupled to matter of arbitrary central charge
E. Brézin and S. Hikami · 1992
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A Numerical Test of Kpz Scaling:. Potts Models Coupled to Two-Dimensional Quantum Gravity
C. F. Baillie and D. A. Johnston · 1992
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Numerical study of c > > 1 matter coupled to quantum gravity
S. Catterall, J. Kogut, and R. Renken · 1992
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Matter fields with c > > 1 coupled to 2d gravity
J. Ambjørn, B. Durhuus, T. Jónsson, and G. Thorleifsson · 1993
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The continuum random tree. III
D. Aldous · 1993
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Remarks about c > 1 c>1 and D > 2 D>2
J. Ambjørn · 1994
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A scenario for the c > 1 c>1 barrier in non-critical bosonic strings
F. David · 1997
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Fractal geometry: mathematical foundations and applications
K. Falconer · 2003
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Lecture notes on the Gaussian Free Field
W. Werner and E. Powell · 2004
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Minkowski content and natural parameterization for the Schramm-Loewner evolution
G. F. Lawler and M. A. Rezaei · 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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Liouville quantum gravity on complex tori
F. David, R. Rhodes, and V. Vargas · 2016
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Gaussian multiplicative chaos through the lens of the 2D Gaussian free field
J. Aru · 2017
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J. Ding and E. Gwynne · 2005
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Basic properties of SLE
S. Rohde and O. Schramm · 2005
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Gaussian free fields for mathematicians
S. Sheffield · 2007
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The dimension of the SLE curves
V. Beffara · 2008
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KPZ in one dimensional random geometry of multiplicative cascades
I. Benjamini and O. Schramm · 2009
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Geodesics and metric ball boundaries in Liouville quantum gravity
E. Gwynne, J. Pfeffer, and S. Sheffield · 2010
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N. Berestycki · 2017
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E. Gwynne and J. Miller · 2017
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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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Liouville quantum gravity on the annulus
G. Remy · 2018
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A distance exponent for Liouville quantum gravity
E. Gwynne, N. Holden, and X. Sun · 2019
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Harmonic functions on mated-CRT maps
E. Gwynne, J. Miller, and S. Sheffield · 2019
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KPZ formulas for the Liouville quantum gravity metric
E. Gwynne and J. Pfeffer · 2019
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Polyakov’s formulation of 2 d 2d bosonic string theory
C. Guillarmou, R. Rhodes, and V. Vargas · 2019
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Liouville metric of star-scale invariant fields: tails and Weyl scaling
J. Dubédat and H. Falconet · 2020
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An almost sure KPZ relation for SLE and Brownian motion
E. Gwynne, N. Holden, and J. Miller · 2020
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Regularity and confluence of geodesics for the supercritical Liouville quantum gravity metric
J. Ding and E. Gwynne · 2021
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Uniqueness of the critical and supercritical Liouville quantum gravity metrics
J. Ding and E. Gwynne · 2021
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Up-to-constants comparison of Liouville first passage percolation and Liouville quantum gravity
J. Ding and E. Gwynne · 2021
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The critical Liouville quantum gravity metric induces the Euclidean topology
J. Ding and E. Gwynne · 2021
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Liouville quantum gravity as a mating of trees
B. Duplantier, J. Miller, and S. Sheffield · 2021
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