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Article Dans Une Revue Journal of High Energy Physics Année : 2012

Conformal field theory of Painlevé VI

O. Gamayun
  • Fonction : Auteur
N. Iorgov
  • Fonction : Auteur

Résumé

Generic Painlevé VI tau function \tau(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 \tau(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.

Dates et versions

hal-00783915 , version 1 (01-02-2013)

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Citer

O. Gamayun, N. Iorgov, O. Lisovyy. Conformal field theory of Painlevé VI. Journal of High Energy Physics, 2012, 2012 (10), pp.038. ⟨10.1007/JHEP10(2012)038⟩. ⟨hal-00783915⟩
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