Cluster integrable systems, q-Painlevé equations and their quantization

Abstract We discuss the relation between the cluster integrable systems and q-difference Painlevé equations. The Newton polygons corresponding to these integrable systems are all 16 convex polygons with a single interior point. The Painlevé dynamics is interpreted as deautonomization of the discrete...

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Bibliographic Details
Main Authors: M. Bershtein, P. Gavrylenko, A. Marshakov
Format: Article
Language:English
Published: SpringerOpen 2018-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP02(2018)077