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We elaborate on a recently conjectured relation of Painlev\'e transcendents and 2D CFT.
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A. S. Fokas, A. R. Its, A. A. Kapaev, V. Yu. Novokshenov, Painlevé transcendents: the Riemann-Hilbert approach
2006
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Y. Ohyama, H. Kawamuko, H. Sakai, K. Okamoto, Studies on the Painlevé equations. V. Third Painlevé equations of special type P III ( D 7 ) P_{\mathrm{III}}(D_{7}) and P III ( D 8 ) P_{\mathrm{III}}(D_{8})
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C. A. Tracy, H. Widom, Fredholm determinants, differential equations and matrix models
1994
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Al. B. Zamolodchikov, Painlevé III and 2D polymers
1994
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N. Dorey, V. V. Khoze, M. P. Mattis On 𝒩 = 2 \mathcal{N}=2 supersymmetric QCD with 4 flavors
1997
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V. Fateev, D. Fradkin, S. Lukyanov, A. Zamolodchikov, Al. Zamolodchikov, Expectation values of descendent fields in the sine-Gordon model
1999
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A. Borodin, Harmonic analysis on the infinite symmetric group and the Whittaker kernel
2001
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H. Sakai, Rational surfaces associated with affine root systems and geometry of the Painlevé equations
2001
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2008
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O. Lisovyy, On Painlevé VI transcendents related to the Dirac operator on the hyperbolic disk
2008
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2010
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2010
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P. J. Forrester, Log-Gases and Random Matrices
2010
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A. Marshakov, A. Mironov, A. Morozov, On combinatorial expansions of conformal blocks
2010
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2011
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2012
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O. Gamayun, N. Iorgov, O. Lisovyy, Conformal field theory of Painlevé VI
2012
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P. Gavrylenko, N. Iorgov, O. Lisovyy, Form factors of twist fields in the lattice Dirac theory
2012
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A. Zabrodin, A. Zotov, Quantum Painlevé-Calogero correspondence
2012
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A. Marshakov, A. Mironov, A. Morozov, On non-conformal limit of the AGT relations
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T. Nagao, K. Slevin, Nonuniversal correlations for random matrix ensembles
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