Anyonic symmetry fractionalization in symmetry enriched topological phases

Key Points

• The aim is to investigate the symmetry fractionalization of anyons within symmetry enriched topological phases.
• Introduced an operator algebra approach for analysis on the infinite plane.
• Examined global symmetry effects on anyonic systems.
• Prevented anyon permutation effects through specified assumptions on symmetry actions.
• Identified a distinct phase corresponding to symmetry fractionalization.
• Demonstrated the impact of global symmetry on anyon behavior.
• Outlined conditions under which anyon permutation effects are absent.