Feb 3 – 8, 2019
Lecture Hall(1F), Kavli IPMU
Asia/Tokyo timezone

Session

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

Feb 4, 2019, 2:00 PM
Lecture Hall(1F), Kavli IPMU

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.

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