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We review conformal field theory on the plane in the conformal bootstrap approach.
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J. M. Maldacena, H. Ooguri (2001) [arXiv:hep-th/0001053] Strings in A d S 3 AdS_{3} and S L ( 2 , ℝ ) SL(2,\mathbb{R}) WZW model. I
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Y. Nakayama (2004 review) [arXiv:hep-th/0402009] Liouville field theory: A decade after the revolution
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A. Zamolodchikov (2004) [arXiv:hep-th/0312279] Higher equations of motion in Liouville field theory
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A. B. Zamolodchikov (2005) [arXiv:hep-th/0505063] On the three-point function in minimal Liouville gravity
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S. Ribault (2005) [arXiv:hep-th/0507114] Knizhnik-Zamolodchikov equations and spectral flow in A d S 3 AdS_{3} string theory
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S. Ribault (2014 blog post) Modular invariance in non-rational CFT
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S. Ribault (2014 blog post) Reality of three-point structure constants in CFT, unitary or not
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B. Eynard, T. Kimura, S. Ribault (2015) [arXiv:1510.04430] Random matrices
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V. Schomerus (2006 review) [arXiv:hep-th/0509155] Non-compact string backgrounds and non-rational CFT
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J. Cardy (2008 review) [arXiv:0807.3472] Conformal Field Theory and Statistical Mechanics
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W. McElgin (2008) [arXiv:0706.0365] Notes on Liouville Theory at c ≤ 1 c\leq 1
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2009
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2016
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J. Teschner (2017 review) [arXiv:1708.00680] A guide to two-dimensional conformal field theory
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S. Ribault (2018) [arXiv:1809.03722] On 2d CFTs that interpolate between minimal models
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