Topic: ODE/IM correspondence for fractional supersymmetric sine-Gordon models
Speaker: Dr. Jingjing Yang
Coordinates: PCFT C1124, 16:00, Thursday, September 10
Abstract: The ODE/IM correspondence reveals a remarkable connection between two-dimensional integrable quantum field theories and the spectral theory of ordinary differential equations. In this talk, I will discuss fractional supersymmetric sine-Gordon models, a family of integrable theories built from Z_k parafermions coupled to a bosonic field. Their infinite family of local conserved charges is encoded in transfer matrices whose eigenvalues are described by nonlinear integral equations known as the Suzuki equations. The ODE/IM correspondence relates these quantities to spectral and monodromy data of an associated ordinary differential equation. In particular, the eigenvalues of local conserved charges appear as quantum corrections to WKB periods. I will demonstrate this relation through analytic calculations and numerical comparisons of the integrals of motion and the effective central charge.
Speaker Profile: Jingjing Yang is a postdoctoral researcher at ICTS-USTC/PCFT. He received his bachelor’s degree from USTC in 2019 and his PhD from the Institute of Science Tokyo in 2025. His research focuses on supersymmetric quantum field theories and their connections to integrable models.