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Liouville Conformal Field Theory (LCFT) on the disk describes the conformal factor of the quantum disk, which is the natural random surface in Liouville quantum gravity with disk topology.
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Boundary Liouville field theory. 1. Boundary state and boundary two point function
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The Brownian loop soup
G. F. Lawler and W. Werner · 2004
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Y. Nakayama · 2004
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SLE ( κ , ρ ) {\rm SLE}(\kappa,\rho) martingales and duality
J. Dubédat · 2005
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Conformal bootstrap in Liouville theory, 2020, 2005.11530
C. Guillarmou, A. Kupiainen, R. Rhodes, and V. Vargas · 2005
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S. Sheffield · 2007
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Analysis on Lie groups
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The importance of the Selberg integral
P. Forrester and O. Warnaar · 2008
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SLE and the free field: partition functions and couplings
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Liouville quantum gravity on the annulus
G. Remy · 2018
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Open minimal strings and open gelfand-dickey hierarchies
K. Aleshkin and V. Belavin · 2019
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Polyakov’s formulation of 2d bosonic string theory
C. Guillarmou, R. Rhodes, and V. Vargas · 2019
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Liouville quantum gravity spheres as matings of finite-diameter trees
J. Miller and S. Sheffield · 2019
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The tail expansion of Gaussian multiplicative chaos and the Liouville reflection coefficient
R. Rhodes and V. Vargas · 2019
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Conformal welding of quantum disks
M. Ang, N. Holden, and X. Sun · 2020
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Conformal radii for conformal loop ensembles
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Gaussian multiplicative chaos and applications: A review
R. Rhodes and V. Vargas · 2014
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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
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Three-Point Functions in c ≤ \leq 1 Liouville Theory and Conformal Loop Ensembles
Y. Ikhlef, J. L. Jacobsen, and H. Saleur · 2016
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http://dlmf.nist.gov/, Release 1.1.0 of 2020-12-15
NIST Digital Library of Mathematical Functions · 2020
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Integrability of Liouville theory: proof of the DOZZ formula
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The Fyodorov-Bouchaud formula and Liouville conformal field theory
G. Remy · 2020
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The distribution of Gaussian multiplicative chaos on the unit interval
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Universal tail profile of Gaussian multiplicative chaos
M. D. Wong · 2020
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Liouville quantum gravity surfaces with boundary as matings of trees
M. Ang and E. Gwynne · 2021
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Integrability of SLE via conformal welding of random surfaces
M. Ang, N. Holden, and X. Sun · 2021
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Integrability of the conformal loop ensemble
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Unit boundary length quantum disk: a study of two different perspectives and their equivalence
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Liouville quantum gravity as a mating of trees
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Integrability of boundary Liouville conformal field theory
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