Symmetry Resolution at High Energy in Conformal Field Theory

Explore advanced concepts in high-energy physics through this 78-minute seminar presentation by Caltech's Hirosi Ooguri, focusing on symmetry resolution in unitary conformal field theory. Delve into the universal behavior of density states at high energy, beginning with the two-dimensional Cardy formula before expanding into multiple dimensions. Learn about the decomposition of Hilbert space into irreducible representations of symmetry, covering both internal global symmetry and spacetime symmetry. Examine detailed discussions on entanglement entropy, entanglement spectra, and the high-energy properties of three-point functions. Master the application of thermal effective field theory principles to derive universal formulas applicable across all unitary conformal field theories, regardless of spacetime dimensions.