10th Bologna Workshop on Conformal Field Theory and Integrable Models

ODE/IM correspondence: Wall-crossing of TBA equations

6 Sept 2023, 11:10

50m

Aula Magna (Dept. of Physics and Astronomy - University of Bologna)

Invited talk Bologna Workshop CFT-IM

Speaker

Katsushi Ito (Tokyo Institute of Technology)

Description

We review the ODE/IM correspondence for higher-order ODEs associated with affine Toda field equations. We focus on the exact WKB periods and the TBA equations for higher-order ODEs and their wall-crossing phenomena, which describe a rich structure of the ODE/IM correspondence. We also discuss its supersymmetric extension and application to quantum mechanics with effective potential.

Presentation materials

bologna230906.pdf