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In this paper, we rigorously construct $2d$ Liouville Quantum Field Theory on the Riemann sphere introduced in the 1981 seminal work by Polyakov "Quantum Geometry of bosonic strings".
Tutte W. T.: A census of planar maps,
1963
Earlier work this paper cites.
Coleman S., Jackiw R. Why dilatation generators do not generate dilatations,
1971
Earlier work this paper cites.
D.B.Ray, I.M. Singer: R-torsion and the Laplacian on Riemannian Manifolds,
1971
Earlier work this paper cites.
Capper D. M., Duff M. J. Trace anomalies in dimensional regularization,
1974
Earlier work this paper cites.
Brown L.; Stress-tensor trace anomaly in a gravitational metric: Scalar fields,
1976
Earlier work this paper cites.
Duff M. J., Observations on conformal anomalies, Nucl. Phys
1977
Earlier work this paper cites.
Polyakov A.M., Quantum geometry of bosonic strings,
1981
Earlier work this paper cites.
Dotsenko V.I.S., Fateev V. A.: Four-point correlation functions and the operator algebra in 2D conformal invariant theories with central charge
1985
Earlier work this paper cites.
Kahane, J.-P.: Sur le chaos multiplicatif,
1985
Earlier work this paper cites.
David F.: Conformal Field Theories Coupled to 2-D Gravity in the Conformal Gauge,
1988
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.
Distler J., Kawai H.: Conformal Field Theory and 2-D Quantum Gravity or Who’s Afraid of Joseph Liouville?,
1989
Earlier work this paper cites.
Gupta A., Trivedi S.P., Wise M.B.: Random surfaces in conformal gauge,
1990
Earlier work this paper cites.
Sarnak P.: Determinants of Laplacians, heights and finiteness, in
1990
Cited alongside, same era.
Seiberg N.: Notes on Quantum Liouville Theory and Quantum Gravity,
1990
Cited alongside, same era.
Goulian M., Li M.: Correlation Functions in Liouville Theory,
1991
Cited alongside, same era.
Klebanov I.: String theory in two dimensions. arXiv:hep-th/9108019,
1991
Cited alongside, same era.
Troyanov M.: Prescribing curvature on compact surfaces with conical singularities,
1991
Cited alongside, same era.
Di Francesco P., Kutasov D.: World-sheet and space-time physics in two-dimensional (super) string theory,
1992
Cited alongside, same era.
Sheffield S.: Gaussian free fields for mathematicians,
2007
Later among the works it cites.
David F., Bauer M., Another derivation of the geometrical KPZ relations,
2009
Later among the works it cites.
Dubédat J.: SLE and the Free Field: partition functions and couplings,
2009
Later among the works it cites.
L. F. Alday, D. Gaiotto, and Y. Tachikawa. Liouville Correlation Functions from Four Dimensional Gauge Theories,
2010
Later among the works it cites.
Duplantier B.: A rigorous perspective on Liouville quantum gravity and KPZ, in
2010
Later among the works it cites.
Astala K., Kupiainen A., Saksman E., Jones P.: Random conformal weldings,
2011
Later among the works it cites.
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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.: Structure constants and conformal bootstrap in Liouville field theory,
1996
Cited alongside, same era.
Gawedzki K.: Lectures on conformal field theory. In Quantum fields and strings: A course for mathematicians, Vols. 1, 2 (Princeton, NJ, 1996/1997), pages 727–805. Amer. Math. Soc., Providence, RI, 1999
1999
Cited alongside, same era.
Ledoux. M. The concentration of measure phenomenon, volume 89 of Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI, 2001
2001
Cited alongside, same era.
Nakayama Y.: Liouville field theory: a decade after the revolution,
2004
Cited alongside, same era.
Duplantier, B., Sheffield, S.: Liouville Quantum Gravity and KPZ,
2011
Later among the works it cites.
Harlow D., Maltz J., Witten E.: Analytic continuation of Liouville theory,
2011
Later among the works it cites.
Kostov I.: Two-dimensional quantum gravity, in
2011
Later among the works it cites.
Rhodes, R. Vargas, V.: KPZ formula for log-infinitely divisible multifractal random measures,
2011
Later among the works it cites.
Garban C.: Quantum gravity and the KPZ formula, séminaire Bourbaki, 64e année, 2011-2012, no 1052
2012
Later among the works it cites.
Gill J. Rhode S.: On the Riemann surface type of random planar maps,
2013
Later among the works it cites.