Abstract
Generic Painlevé VI tau function τ (t) can be interpreted as four-point correlator of primary fields of arbitrary dimensions in 2D CFT with c = 1. Using AGT combinatorial representation of conformal blocks and determining the corresponding structure constants, we obtain full and completely explicit expansion of τ (t) near the singular points. After a check of this expansion, we discuss examples of conformal blocks arising from Riccati, Picard, Chazy and algebraic solutions of Painlevé VI.
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ArXiv ePrint: 1207.0787
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Gamayun, O., Iorgov, N. & Lisovyy, O. Conformal field theory of Painlevé VI. J. High Energ. Phys. 2012, 38 (2012). https://doi.org/10.1007/JHEP10(2012)038
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DOI: https://doi.org/10.1007/JHEP10(2012)038