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The fuzzy-sphere regularization is an emerging numerical and theoretical technique for studying conformal field theories (CFTs). In this paper, we apply it to the O (N) vector model, one of the most prominent theories for critical behavior in three space-time dimensions. We construct a model that realizes the O (N) Wilson-Fisher and free-scalar CFTs for general N. For N=2, 3, 4, we present numerical evidence including the operator spectra and correlation functions in agreement with conformal symmetry and conformal bootstrap results.
Guo et al. (Mon,) studied this question.