3 papers
math-ph2026
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…
cond-mat.str-el2026
Non-invertible symmetry enriched string net topological orders
Luisa Eck, Peter Huston, Kyle Kawagoe +1
We propose a definition of a non-invertible symmetry enriched topological order (NI-SETO), and we implement our definition for string net models. We do so in two ways, using full i…
cond-mat.str-el2025
Anomaly diagnosis via symmetry restriction in two-dimensional lattice systems
Kyle Kawagoe, Wilbur Shirley
We describe a method for computing the anomaly of any finite unitary symmetry group acting by finite-depth quantum circuits on a two-dimensional lattice system. The anomaly is…