Bilinear tau forms of quantum Painlevé equations and ${\mathbb{C}}^2/{\mathbb{Z}}_2$ blowup relations in SUSY gauge theories

Giulio Bonelli, Anton Shchechkin, Alessandro Tanzini

We derive bilinear tau forms of the canonically quantized Painlevé equations, thereby relating them to those previously obtained from the ${\mathbb{C}}^2/{\mathbb{Z}}_2$ blowup relatio…