4 papers · 1 filter
3d Conformal Field Theories via Fuzzy Sphere Algebra
Luisa Eck, Zhenghan Wang
Fuzzy sphere models conjecturally realize 3d CFTs in small systems of spinful fermions, but why they work so well is still not fully understood. Their Hamiltonians are built from e…
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…
Dualities between 2+1d fusion surface models from braided fusion categories
Luisa Eck
Fusion surface models generalize the concept of anyon chains to 2+1 dimensions, utilizing fusion 2-categories as their input. We investigate bond-algebraic dualities in these syste…
Generalizations of Kitaev's honeycomb model from braided fusion categories
Luisa Eck, Paul Fendley
Fusion surface models, as introduced by Inamura and Ohmori, extend the concept of anyon chains to 2+1 dimensions, taking fusion 2-categories as their input. In this work, we constr…