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Dorn and Otto (1994) and independently Zamolodchikov and Zamolodchikov (1996) proposed a remarkable explicit expression, the so-called DOZZ formula, for the 3 point structure constants of Liouville Conformal Field Theory (LCFT), which is expected to describe the scaling limit of large planar maps properly embedded into the Riemann sphere.
Osterwalder, K., Schrader, R.: Axioms for Euclidean Green’s functions I
1973
Earlier work this paper cites.
Albeverio, S., Hoegh-Krohn, R.: The Wightman axioms and the mass gap for strong interactions of exponential type in two dimensional space-time. J. Funct. Anal. 16, 39-82 (1974)
1974
Earlier work this paper cites.
Polyakov A. M.: Nonhamiltonian approach to conformal quantum field theory, Zh. Eksp. Teor. Fiz. 66 (1974) 23-42
1974
Earlier work this paper cites.
Williams, D.: Path Decomposition and Continuity of Local Time for One-Dimensional Diffusions, I,
1974
Earlier work this paper cites.
Osterwalder, K., Schrader, R.: Axioms for Euclidean Green’s functions II,
1975
Earlier work this paper cites.
S. Albeverio, G. Gallavotti and R. Hoegh-Krohn: Some Results for the Exponential Interaction in Two or More Dimensions,
1979
Earlier work this paper cites.
Polyakov A.M.: Quantum geometry of bosonic strings,
1981
Earlier work this paper cites.
E.Braaten, T.Curtright, C.Thorn. Phys.Lett.,
1982
Earlier work this paper cites.
T. Curtright, C.Thorn. Phys.Rev.Lett.,
1982
Earlier work this paper cites.
Belavin A.A., Polyakov A.M., Zamolodchikov A.B. : Infinite conformal symmetry in two-dimensional quantum field theory,
1984
Earlier work this paper cites.
Gervais J.-L. and Neveu A. Nucl.Phys.,
1984
Earlier work this paper cites.
Kahane, J.-P.: Sur le chaos multiplicatif,
1985
Earlier work this paper cites.
Knizhnik, V.G., Polyakov, A.M., Zamolodchikov, A.B.: Fractal structure of 2D-quantum gravity,
1988
Earlier work this paper cites.
Seiberg N.: Notes on Quantum Liouville Theory and Quantum Gravity,
1990
Earlier work this paper cites.
Dorn H., Otto H.-J.: Two and three point functions in Liouville theory,
1994
Cited alongside, same era.
Teschner J.: On the Liouville three point function,
1995
Cited alongside, same era.
Zamolodchikov A.B., Zamolodchikov A.B.: Conformal bootstrap in Liouville field theory,
1996
Cited alongside, same era.
Grimmett G.R.: Percolation, second edition, Springer-Verlag, Berlin, Grundlehren der Mathematischen Wissenschaften, 321, 1999
1999
Cited alongside, same era.
O’Raifeartaigh L., Pawlowski J.M., Sreedhar V.V.: The Two-exponential Liouville Theory and the Uniqueness of the Three-point Function,
2000
Cited alongside, same era.
Teschner J.: Liouville Theory Revisited, Class.Quant.Grav
2001
L. F. Alday, D. Gaiotto, and Y. Tachikawa. Liouville Correlation Functions from Four Dimensional Gauge Theories,
2010
Later among the works it cites.
Rhodes R., Vargas V.: Multidimensional Multifractal Random Measures,
2010
Later among the works it cites.
Harlow D., Maltz J., Witten E.: Analytic Continuation of Liouville Theory,
2011
Later among the works it cites.
El-Showk, S., Paulos M.F., Poland D., Rychkov S., Simmons-Duffin D., Vichi A.: Solving the 3D Ising model with the conformal bootstrap, Phys. Rev. D 86, 025022 (2012)
2012
Later among the works it cites.
El-Showk, S., Paulos M.F., Poland D., Rychkov S., Simmons-Duffin D., Vichi A.: Solving the 3D Ising model with the conformal bootstrap II. c-minimization and precise critical exponents , Phys. Rev. D 86, 025022 (2012)
2012
Later among the works it cites.
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Cited alongside, same era.
Nakayama Y.: Liouville field theory: a decade after the revolution,
2004
Cited alongside, same era.
Teschner J.: A lecture on the Liouville vertex operators, Int.J.Mod.Phys. A19S2, 436-458 (2004)
2004
Cited alongside, same era.
Sheffield S.: Gaussian free fields for mathematicians,
2007
Cited alongside, same era.
Fyodorov Y., Bouchaud J.-P.: Freezing and extreme value statistics in a Random Energy Model with logarithmically correlated potential,
2008
Cited alongside, same era.
Dubédat J.: SLE and the Free Field: partition functions and couplings,
2009
Cited alongside, same era.
Fyodorov Y., Le Doussal P., Rosso A.: Statistical Mechanics of Logarithmic REM: Duality, Freezing and Extreme Value Statistics of
2009
Cited alongside, same era.
Schiffmann O., Vasserot E.: Cherednik algebras, W-algebras and the equivariant cohomology of the moduli space of instantons on
2013
Later among the works it cites.
Rhodes R., Vargas, V.: Gaussian multiplicative chaos and applications: a review,
2014
Later among the works it cites.
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2016
Later among the works it cites.
Ikhlef Y., Jacobsen J.L., Saleur H.: Three-point functions in
2016
Later among the works it cites.
Berestycki N.: An elementary approach to Gaussian multiplicative chaos,
2017
Closest in time.
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2018
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2018
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2018
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