O(3) CFT from Truncated Quantum Rotors

Explore a specialized lecture on O(N) criticality through truncated quantum rotor models, with particular focus on the O(3) model implemented on a fuzzy sphere. Learn how to apply conformal perturbation theory to locate critical points and compute scaling dimensions using the state-operator correspondence. Discover techniques for extracting operator product expansion (OPE) coefficients from finite-size effects, effectively transforming computational noise into meaningful signal. Examine the identification of new operators, including an O(3) pseudoscalar Lorentz pseudovector that addresses longstanding questions regarding critical exponents in dimerised antiferromagnets. Understand how the emergence of the stress-energy tensor and conserved Noether current in the spectrum provides validation for the presence of conformal symmetry in these quantum systems. The presentation demonstrates advanced methods in theoretical physics for investigating critical phenomena and conformal field theory applications.