Symmetry Resolution of Entanglement in 2D-CFT

In this 39-minute talk, Javier Molina Vilaplana presents a comprehensive symmetry resolution of entanglement entropy (EE) in (1+1)-dimensional rational conformal field theories (RCFT) with categorical non-invertible symmetries. Explore how this resolution works across all twisted and anyonic charge sectors of the theory, where anyonic sectors label the irreducible representations of a modular fusion category defining the symmetry. Learn how these sectors can be understood through the (2+1)-dimensional symmetry topological field theory (SymTFT) that encodes the CFT's symmetry features. Discover the definition of generalized boundary dependent charged moments necessary for symmetry resolution of entanglement entropy. Understand the notable breakdown of entanglement equipartition between different charged sectors at the next-to-leading order in the ultraviolet cutoff, which contrasts with the case of invertible symmetries.