Representation theory, gauge theory, and integrable systems

Session

Masahito Yamazaki: Discrete Painlevé Equation and Four-dimensional Gauge Theories

4 Feb 2019, 14:00

Lecture Hall(1F), Kavli IPMU

Description

We discuss special solutions for the Hirota-type bilinear identity for the E8 discrete Painlevé equation and its "lens-generalization". The key identity is provided by transformation formulas for the lens-elliptic gamma function, which were first found via the Seiberg dualities in $4d$ $\mathcal{N}=1$ theories, and studied in connection with the super-master solution of the star-triangle relation.

10. Discrete Painlevé Equation and Four-dimensional Gauge Theories

Masahito Yamazaki

04/02/2019, 14:00

We discuss special solutions for the Hirota-type bilinear identity for the E8 discrete Painlevé equation and its "lens-generalization". The key identity is provided by transformation formulas for the lens-elliptic gamma function, which were first found via the Seiberg dualities in $4d$ $\mathcal{N}=1$ theories, and studied in connection with the super-master solution of the star-triangle relation.