CFT approach to the $q$-Painlev\'e VI equation
Mathematical Physics
2017-08-18 v2 Classical Analysis and ODEs
math.MP
Abstract
Iorgov, Lisovyy, and Teschner established a connection between isomonodromic deformation of linear differential equations and Liouville conformal field theory at . In this paper we present a analog of their construction. We show that the general solution of the -Painlev\'e VI equation is a ratio of four tau functions, each of which is given by a combinatorial series arising in the AGT correspondence. We also propose conjectural bilinear equations for the tau functions.
Cite
@article{arxiv.1706.01940,
title = {CFT approach to the $q$-Painlev\'e VI equation},
author = {M. Jimbo and H. Nagoya and H. Sakai},
journal= {arXiv preprint arXiv:1706.01940},
year = {2017}
}
Comments
26 pages