L. F. Alday, D. Gaiotto, and Y. Tachikawa, Liouville Correlation Functions from Four-Dimensional Gauge Theories, Letters in Mathematical Physics, vol.10, issue.2, pp.167-197, 2010.
DOI : 10.1007/978-1-4612-2256-9

URL : http://arxiv.org/abs/0906.3219

K. Astala, T. Iwaniec, and E. Saksman, Beltrami operators in the plane, Duke mathematical journal, vol.107, issue.1, pp.27-56, 2001.

M. Bauer, D. Bernard, and K. Kytola, Multiple Schramm???Loewner Evolutions and Statistical Mechanics Martingales, Journal of Statistical Physics, vol.557, issue.3, pp.5-6, 2005.
DOI : 10.1016/S0764-4442(01)01991-7

URL : https://hal.archives-ouvertes.fr/hal-00023298

A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov, Infinite conformal symmetry in two-dimensional quantum field theory, Nuclear Physics B, vol.241, issue.2, pp.333-380, 1984.
DOI : 10.1016/0550-3213(84)90052-X

N. Berestycki, An elementary approach to Gaussian multiplicative chaos, Electronic Communications in Probability, vol.22, issue.0
DOI : 10.1214/17-ECP58

URL : http://doi.org/10.1214/17-ecp58

A. Borodin and P. Salminen, Handbook of Brownian motion-Facts and Formulae, Probability and Its Applications, 1996.

C. Boutillier and B. Detilì-ere, The critical Z-invariant Ising model via dimers: the periodic case, Probability Theory and related fields 147, pp.379-413, 2010.

C. Boutillier and B. Detilì-ere, The Critical Z-Invariant Ising Model via Dimers: Locality Property, Communications in Mathematical Physics, vol.65, issue.3-4, pp.473-516, 2011.
DOI : 10.4159/harvard.9780674180758

URL : https://hal.archives-ouvertes.fr/hal-00361365

F. Camia, C. Garban, and C. Newman, Planar Ising magnetization field I. Uniqueness of the critical scaling limit, The Annals of Probability, vol.43, issue.2, pp.528-571, 2015.
DOI : 10.1214/13-AOP881

URL : http://arxiv.org/pdf/1205.6610

D. Chelkak, A. Glazman, and S. Smirnov, Discrete stress-energy tensor in the loop O(n) model

D. Chelkak and S. Smirnov, Universality in the 2D Ising model and conformal invariance of fermionic observables, Inventiones mathematicae 189, pp.515-580, 2012.

D. Chelkak, C. Hongler, and K. Izyurov, Conformal invariance of spin correlations in~the~planar Ising model, Annals of Mathematics, vol.181, pp.1087-1138, 2015.
DOI : 10.4007/annals.2015.181.3.5

H. Dorn and H. Otto, Two- and three-point functions in Liouville theory, Nuclear Physics B, vol.429, issue.2, pp.375-388, 1994.
DOI : 10.1016/0550-3213(94)00352-1

URL : http://arxiv.org/abs/hep-th/9403141

B. Doyon, Conformal Loop Ensembles and the Stress???Energy Tensor, Letters in Mathematical Physics, vol.21, issue.3, pp.233-284, 2013.
DOI : 10.1090/S0894-0347-07-00557-7

URL : http://arxiv.org/pdf/1209.1560

J. Dubédat, SLE and the free field: Partition functions and couplings, Journal of the American Mathematical Society, vol.22, issue.4, pp.995-1054, 2009.
DOI : 10.1090/S0894-0347-09-00636-5

J. Dubédat, Commutation relations for Schramm-Loewner evolutions, Communications on Pure and Applied Mathematics, vol.129, issue.12, pp.1792-1847, 2007.
DOI : 10.1007/978-3-540-39982-7_2

J. Dubédat, Exact bosonization of the Ising model

B. Duplantier, J. Miller, and . Sheffield, Liouville quantum gravity as mating of trees
URL : https://hal.archives-ouvertes.fr/cea-01251995

P. J. Forrester and S. O. Warnaar, The importance of the Selberg integral, Bulletin of the American Mathematical Society, vol.45, issue.4, pp.489-534, 2008.
DOI : 10.1090/S0273-0979-08-01221-4

K. Gawedzki, Lectures on conformal field theory, Quantum field theory program at IAS

D. Harlow, J. Maltz, and E. Witten, Analytic continuation of Liouville theory, Journal of High Energy Physics, vol.02, issue.12, 2011.
DOI : 10.1007/JHEP02(2010)029

C. Hongler and S. Smirnov, The energy density in the planar Ising model, Acta Mathematica, vol.211, issue.2, pp.191-225, 2013.
DOI : 10.1007/s11511-013-0102-1

N. Kang and N. Makarov, Gaussian Free Field and Conformal Field Theory, 2013.

V. G. Knizhnik, A. M. Polyakov, and A. B. Zamolodchikov, Fractal structure of 2D-quantum gravity, Modern Phys, Lett A, vol.3, issue.8, pp.819-826, 1988.

I. K. Kostov and V. B. Petkova, Bulk Correlation Functions in 2d Quantum Gravity, Theoretical and Mathematical Physics, vol.386, issue.1, pp.108-118, 2006.
DOI : 10.1007/s11232-005-0048-3

URL : http://arxiv.org/abs/hep-th/0505078

A. Kupiainen, R. Rhodes, and V. Vargas, Liouville Reflection Relation and Asymptotics of a Thermal Particle in GFF Potential

Y. Nakayama, LIOUVILLE FIELD THEORY: A DECADE AFTER THE REVOLUTION, International Journal of Modern Physics A, vol.29, issue.17n18, pp.2771-2930, 2004.
DOI : 10.1016/S0550-3213(01)00573-9

D. Maulik and A. Okounkov, Quantum Groups and Quantum Cohomology

O. 'raifeartaigh, L. Pawlowski, J. M. Sreedhar, and V. V. , The Two-exponential Li-ouville Theory and the Uniqueness of the Three-point Function, Physics Letters B, vol.481, pp.2-4, 2000.

A. M. Polyakov, Quantum geometry of bosonic strings, Phys. Lett, pp.103-207, 1981.

S. Ribault, Conformal Field theory on the plane
URL : https://hal.archives-ouvertes.fr/cea-01062770

S. Ribault and R. Santachiara, Liouville theory with a central charge less than one, Journal of High Energy Physics, vol.07, issue.8, p.109, 2015.
DOI : 10.1007/JHEP07(2015)054

URL : https://hal.archives-ouvertes.fr/hal-01196718

N. Seiberg, Notes on Quantum Liouville Theory and Quantum Gravity, Progress of Theoretical Physics, 1990.

S. Sheffield, Gaussian free fields for mathematicians, Probab. Th. Rel, pp.521-541, 2007.
DOI : 10.1007/s00440-006-0050-1

URL : http://arxiv.org/abs/math/0312099

S. Smirnov, Conformal invariance in random cluster models. I. Holomorphic fermions in the Ising model, Annals of mathematics, vol.172, pp.1435-1467, 2010.

L. Takhtajan and L. Teo, Quantum Liouville Theory in the Background Field Formalism I. Compact Riemann Surfaces, Communications in Mathematical Physics, vol.477, issue.2, pp.135-197, 2006.
DOI : 10.1007/978-1-4612-4728-9

L. Takhtajan and P. Zograf, Hyperbolic 2-spheres with conical singularities, accessory parameters and Kähler metrics on M 0,n, Transactions of the American Mathematical Society, vol.355, issue.05, pp.1857-1867, 2002.
DOI : 10.1090/S0002-9947-02-03243-9

J. Teschner, On the Liouville three-point function, Physics Letters B, vol.363, issue.1-2, pp.65-70, 1995.
DOI : 10.1016/0370-2693(95)01200-A

URL : http://arxiv.org/pdf/hep-th/9507109

J. Teschner, Liouville theory revisited, Classical and Quantum Gravity, vol.18, issue.23, pp.153-222, 2001.
DOI : 10.1088/0264-9381/18/23/201

URL : http://arxiv.org/abs/hep-th/0104158

A. B. Zamolodchikov, Three-point function in the minimal Liouville gravity, Theoretical and Mathematical Physics, vol.264, issue.2, pp.183-196, 2005.
DOI : 10.1016/0370-2693(91)90351-P

A. B. Zamolodchikov and A. B. Zamolodchikov, Conformal bootstrap in Liouville field theory, Liouville field theory, pp.577-605, 1996.
DOI : 10.1016/0550-3213(96)00351-3