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We develop the theory of irregular conformal blocks of the Virasoro algebra.
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A. S. Fokas, A. R. Its, A. A. Kapaev and V. Yu. Novokshenov, Painlevé transcendents: the Riemann-Hilbert approach, Mathematical Surveys and Monographs 128
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Y. Ohyama, H. Kawamuko, H. Sakai and K. Okamoto, Studies on the Painlevé equations, V: J. Math. Sci. Univ. Tokyo
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A. Marshakov, A. Mironov, and A. Morozov, On non-conformal limit of the AGT relations, Phys. Lett. B
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M. Ondrus and E. Wiesner, Whittaker modules for the Virasoro algebra, J. Algebra Appl.,
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2010
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V. A. Alba, V. A. Fateev, A. V. Litvinov and G. M. Tarnopolskiy, On Combinatorial Expansion of the Conformal Blocks Arising from AGT Conjecture, Lett. Math. Phys
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S. Yanagida, Whittaker vectors of the Virasoro algebra in terms of Jack symmetric polynomial, J. Algebra
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Asymptotically free 𝒩 = 2 \mathcal{N}=2 theories and irregular conformal blocks, J. Phys.: Conference Series
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A. Its, O. Lisovyy, and Y. Tykhyy, Connection Problem for the Sine-Gordon/Painlevé III Tau Function and Irregular Conformal Blocks, International Mathematics Research Notices, (2014)
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H. Nagoya and Y. Yamada, Symmetries of Quantum Lax Equations for the Painlevé Equations, Ann.–Henri Poincaré
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G. Bonelli, K. Maruyoshi and A. Tanzini, Wild quiver gauge theories, Journal of High Energy Physics, (2012), DOI:10.1007/JHEP02(2012)031
2012
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E. Felińska, Z. Jaskólski and M. Kosztolowicz, Whittaker pairs for the Virasoro algebra and the Gaiotto-BMT states, J. Math. Phys.,
2012
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H. Awata, H. Fuji, H. Kanno, M. Manabe and Y. Yamada, Localization with a surface operator, irregular conformal blocks and open topological string, Advanced Theoretical and Mathematical Physics, [arxiv: 1008.0574]
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M. Bershtein and A. Shchechkin, Bilinear equations on Painlevé tau functions from CFT, [arxiv: 1406.3008]
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D. Gaiotto and J. Teschner, Irregular singularities in Liouville theory and Argyres-Douglas type gauge theories, I, [arXiv: 1203.1052]
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O. Gamayun, N. Iorgov and O. Lisovyy, Conformal field theory of Painlevé VI, [arXiv:1207.0787]
Cited in the paper.
O. Gamayun, N. Iorgov and O. Lisovyy, How instanton combinatorics solves Painlevé VI, V and III’s, [arXiv: 1302.1832]
Cited in the paper.
2014
Later among the works it cites.
S. K. Choi, C. Rim and H. Zhang, Virasoro irregular conformal block and beta deformed random matrix model, Phys. Lett. B
2015
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