4 papers
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…
Central extensions for loop groups of area-preserving diffeomorphisms and their fuzzy sphere limits
Bas Janssens, Zhenghan Wang
We classify central extensions for the loop group LSDiff(S^2) of area-preserving diffeomorphisms of the 2-sphere, and of related twisted loop groups. We then show that the correspo…
Towards reconstruction of finite tensor categories
Mitchell Jubeir, Zhenghan Wang
We take a first step towards a reconstruction of finite tensor categories using finitely many -matrices. The goal is to reconstruct a finite tensor category from its projective…
Modular data of non-semisimple modular categories
Liang Chang, Quinn T. Kolt, Zhenghan Wang +1
We investigate non-semisimple modular categories with an eye towards a structure theory, low-rank classification, and applications to low dimensional topology and topological physi…