WKB analysis of the linear problem for modified affine Toda field equations

Organizers

Hongfei Shu , Rui-Dong Zhu , Hao Zou

Speaker

Mingshuo Zhu

Time

Friday, May 19, 2023 3:30 PM - 5:00 PM

Venue

A3-2a-202

Abstract

In this talk, we discuss the WKB analysis of the linear problem for a modified affine Toda field equation, which is equivalent to the higher-order ordinary differential equation (ODE) studied in the ODE/IM correspondence. We diagonalize the flat connection of the linear problem by gauge transformation to reduce the linear problem to a set of independent first-order linear differential equations. The diagonalized connection is obtained by solving the Riccati equations of the adjoint linear problem. The connection is also related to the conserved currents of the integrable hierarchy constructed by Drinfeld and Sokolov up to total derivatives.