Thursday, October 4, 2012

1210.0915 (Koji Hasegawa)

Quantizing the discrete Painlevé VI equation : The Lax formalism    [PDF]

Koji Hasegawa
A discretization of Painlev\'e VI equation was obtained by Jimbo and Sakai in 1996. There are two ways to quantize it: 1) use the affine Weyl group symmetry (of $D_5^{(1)}$) (Hasegawa, 2011), 2) Lax formalism i.e. monodromy preserving point of view. It turns out that the second approach is also successful and gives the same quantization as in the first approach.
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