Quantizing the Discrete Painlevé VI Equation: The Lax Formalism

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A discretization of Painlevé VI equation was obtained by Jimbo and Sakai (Lett Math Phys 38:145-154, 1996). There are two ways to quantize it: (1) use the affine Weyl group symmetry (of D(1)5 (Hasegawa in Adv Stud Pure Math 61:275-288, 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.

Original languageEnglish
Pages (from-to)865-879
Number of pages15
JournalLetters in Mathematical Physics
Issue number8
Publication statusPublished - 2013 Aug


  • Weyl groups
  • discrete Painlevé equations
  • quantum integrable systems

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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