Conformal Data for the O(2) Wilson-Fisher CFT in (2+1) -Dimensional Spacetime from Exact Diagonalization and Matrix Product States on the Fuzzy Sphere
This research used exact diagonalization and matrix product states on a fuzzy sphere to study a quantum spin-1 model representing the O(2) Wilson-Fisher CFT in 2+1 dimensions. The study successfully identified 48 primary operators, verified scaling dimensions against conformal bootstrap predictions, and linked numerical results to phonon primaries, providing direct access to critical conformal data.