NITEP Lecture Series

# NITEP Lecture Series 第1回

Asia/Tokyo
Description

Speaker: Takeshi Oota (NITEP)
Title: Matrix model, supersymmetric gauge theory and Painleve equation

Abstract: It is known that certain types of matrix models have close connection with supersymmetric gauge theories. Recently we have studied properties of one of those models. It is a unitary matrix model which is an extension of the Gross-Witten-Wadia model by the logarithmic potential. Some properties which will be explained are:

1. The spectral curve of this model is isomorphic to the Seiberg-Witten curve of the SU(2) gauge theory with two matter hypermultiplets.
2. The double scaling limit of the matrix model corresponds to the limit of the gauge theory to the Argyres-Douglas superconformal fixed point.
3. The partition function of the matrix model is a tau function of the Painleve III equation.