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math.OA2024
Superselection sectors for posets of von Neumann algebras
Anupama Bhardwaj, Tristen Brisky, Chian Yeong Chuah +4
We study a commutant-closed collection of von Neumann algebras acting on a common Hilbert space indexed by a poset with an order-reversing involution. We give simple geometric axio…
math-ph2024
An operator algebraic approach to symmetry defects and fractionalization
Kyle Kawagoe, Siddharth Vadnerkar, Daniel Wallick
We provide a superselection theory of symmetry defects in 2+1D symmetry enriched topological (SET) order in the infinite volume setting. For a finite symmetry group with a unit…