Discrete matrix models for partial sums of conformal blocks associated to Painlevé transcendents
Discrete matrix models for partial sums of conformal blocks associated to Painlevé transcendents
A recently formulated conjecture of Gamayun, Iorgov and Lisovyy gives an asymptotic expansion of the Jimbo--Miwa--Ueno isomonodromic $\tau$-function for certain Painlev\'e transcendents. The coefficients in this expansion are given in terms of conformal blocks of a two-dimensional conformal field theory, which can be written as infinite sums over pairs of …