4 papers
A nonabelian anyon violates Haag duality
Daniel Wallick, Henrik Wilming
We show that a superselction sector describing a single nonabelian anyon violates Haag duality, which is equivalent to the fundamental quantum-information theoretic principle of un…
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…
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…
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…