activity
20242026
most citedGeneralizations of Kitaev's honeycomb model from braided fusion categories

7 citations · 9 across the 5 of their papers we have counts for

collaborators

5 papers

cond-mat.str-el2026

Ginzburg-Landau Theory for Non-Invertible Symmetry-Breaking Transitions

Vibhu Ravindran, Luisa Eck, Xie Chen

Recently, a generalized Landau paradigm has been proposed, in which a broad class of "unconventional" phase transitions lying beyond the original symmetry-breaking framework of Lan…

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-el2026

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…

cond-mat.str-el2025★ 2 cited

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…

cond-mat.str-el2024★ 7 cited

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…