Conformal field theory of Painlevé VI

Conformal field theory of Painlevé VI

I will argue that 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, full and completely explicit expansion of $tau(t)$ near the singular points will be obtained. After a check of this expansion, I will discuss examples of conformal blocks arising from Riccati, Picard, Chazy and algebraic solutions of Painlevé VI.

Tours

The event is finished.

Date

8 October 2012
Expired!

Time

11h00 – 0h00

Location

Salle Claude Itzykson, Bât. 774
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