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math-ph2026
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…
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…