Bootstrapping Line Defects in CFTs - Applications to 3D Ising Model

Explore advanced theoretical physics concepts in this lecture where Max Metliski from MIT demonstrates the bootstrap approach to studying line defects in Conformal Field Theories, with specific applications to the three-dimensional Ising model. Learn how the conformal bootstrap method can be extended beyond traditional bulk correlation functions to analyze topological and magnetic line defects that break conformal symmetry locally while preserving it globally. Discover the mathematical framework for constraining operator dimensions and structure constants associated with these defects through crossing symmetry and unitarity bounds. Examine specific calculations and results for the 3d Ising model, including how line defects modify critical behavior and correlation functions near the critical point. Gain insights into the intersection of condensed matter physics and conformal field theory, understanding how defect conformal field theory provides powerful tools for studying phase transitions and critical phenomena in statistical mechanics and quantum field theory.