A central theme of modern mathematical physics is the interplay between geometry and supersymmetric gauge theory. After briefly reviewing the basic framework of Donaldson–Witten theory, we outline a physical framework for its K-theoretic generalization. In this approach, K-theoretic Donaldson invariants arise as topological correlation functions of 5d N=1 SU(2) super Yang–Mills theory with a partial topological twist. Using path-integral methods, we evaluate these invariants explicitly. We also present evidence for new invariants appearing at the superconformal point that are independent of Donaldson and Seiberg–Witten invariants.
个人简介：Xinyu Zhang is a Tenure-track Research Professor at the Zhejiang Institute of Modern Physics, Zhejiang University. He earned his B.S. in Physics from Peking University in 2011 and completed his Ph.D. in Physics at Stony Brook University in 2017. From 2017 to 2023, he conducted postdoctoral research at Rutgers University and DESY. His research focuses on various aspects of supersymmetric theories and mathematical physics.
Prof. Yinan Wang