Differential Geometry and Physics Seminar

Speaker: Monica Jinwoo Kang, Texas A&M University

Title: Index from a point

Abstract: We argue that protected data of 4d N=2 SCFTs admits a purely algebro-geometric characterization. We conjecture that both the Macdonald index (and hence the Schur index) and the Higgs branch are encoded by a bifiltered affine scheme determined by OPE nilpotency and decoupling relations. Focusing on Argyres–Douglas theories, where the Higgs branch is a point, we show that this geometric construction suffices to reconstruct the full Macdonald index. This is based on recent works with Craig Lawrie and Jaewon Song.