O ( N ) free-scalar and Wilson-Fisher conformal field theories on the fuzzy sphere
Abstract
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.
Fields of Study & Subjects
Black Holes and Theoretical Physics
Noncommutative and Quantum Gravity Theories
Cosmology and Gravitation Theories
Publication details
- Journal / source
- Physical review. B./Physical review. B
- Publisher
- American Physical Society (APS)
- Volume
- 114
- Issue
- 6
- Publication date
- 1 June 2026
- Language
- EN