Title:Unitary non-rational conformal field theory
Speaker: Bin Gui（Tsinghua University）
Time: Monday, August 3, 2026, 10:30-11:30 (UTC+8)
Venue: Gewu Building, Room 315
Abstract: In the past three decades, the operator-algebraic approach to 2d unitary conformal field theory (CFT) has focused primarily on rational CFT, owing to its close relationship with the theory of finite-index subfactors. In rational CFT, the state space has a finite spectrum; that is, it decomposes into finitely many irreducible representations with respect to its symmetry algebra. More recently, however, important models of non-rational unitary CFTs with continuous spectra, most notably Liouville CFT, have been rigorously constructed using probabilistic methods. In this talk, I will explain how both finite-type and continuous-type unitary CFTs can be understood within the operator-algebraic framework. The talk is based on the paper 2606.30928.
More information on the Analysis Seminar: http://im.hit.edu.cn/en/2022/0414/c8931a271838/page.htm
