M Jimbo et al 2008 J. Phys. A: Math. Theor. 41 175205 doi:10.1088/1751-8113/41/17/175205
Remarks on the confluent KZ equation for 
and quantum Painlevé equations
M Jimbo1, H Nagoya2 and J Sun1
Show affiliationsFor the Lie algebra 
, we give an explicit form of an irregular-singular version of the KZ equation. In the simplest non-trivial cases these KZ equations reproduce the quantum Painlevé equations 
–
possessing affine Weyl group symmetry, found previously by one of the authors.
- PACS
- MSC
-
34M55 Painlevé and other special equations; classification, hierarchies; isomonodromic deformations
35F05 General theory of linear first-order PDE
- Subjects
- Dates
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Issue 17 (2 May 2008)
Received 3 February 2008
Published 15 April 2008
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Remarks on the confluent KZ equation for and quantum Painlevé equations
M Jimbo et al 2008 J. Phys. A: Math. Theor. 41 175205
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