Showing math-phShow all
2 papers · 1 filter
math-ph2026
Local topological order, Haag duality, and reflection positivity
Pieter Naaijkens, David Penneys, Daniel Wallick
In our previous article [arXiv:2307.12552], we introduced local topological order (LTO) axioms for abstract quantum spin systems which allow one to access topological order via a b…
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…