主讲人： 胡樑栋， 西湖大学
时 间：2025年9月24日10:00
地 点：物电学院A栋335
联系人：李福祥
讲座摘要: Phase transitions are a central theme in statistical and condensed matter physics. Despite decades of study, our understanding of critical phenomena remains incomplete—for instance, the three-dimensional Ising transition still lacks an exact analytical solution. A modern perspective is provided by conformal field theory (CFT), where conformal symmetry becomes manifest at quantum critical points (QCPs). Demonstrating this emergent symmetry in a given system is thus of fundamental importance. In this work, we implement the (2+1)d quantum transverse-field Ising model using the fuzzy sphere approach. At the QCP, we extract universal conformal data—including scaling dimensions and operator product expansion (OPE) coefficients—via the state-operator correspondence. These quantities depend only on the universality class rather than microscopic details, thereby offering strong evidence for conformal symmetry. Furthermore, we study the three-dimensional Ising model in the presence of a line defect, computing both scaling dimensions and OPE coefficients, and establish the existence of an attractive defect fixed point.
