English

Studying 3D O(N) Surface CFT on the Fuzzy Sphere

Strongly Correlated Electrons 2026-04-24 v1 Statistical Mechanics High Energy Physics - Theory

Abstract

Boundary conformal field theory (BCFT) provides a universal framework for critical phenomena in the presence of boundaries. We determine BCFT data for the normal and ordinary boundary universality classes of the 1+11+1-dimensional boundaries of the 2+12+1-dimensional O(2)O(2) and O(3)O(3) Wilson-Fisher fixed points, realized microscopically by a bilayer Heisenberg model on the fuzzy sphere. Using the fuzzy-sphere state-operator correspondence, we obtain boundary operator spectra, identify low-lying boundary primary operators, extract operator-product-expansion (OPE) data, and estimate the boundary central charges for both boundary conditions. For the normal boundary condition, the universal amplitudes aσa_\sigma and btb_t extracted from one- and two-point functions agree quantitatively with Monte Carlo benchmarks where available. For both N=2N=2 and N=3N=3, we find a positive extraordinary-log exponent α\alpha, providing independent microscopic evidence for extraordinary-log boundary criticality. Our results extend fuzzy-sphere BCFT spectroscopy beyond the Ising universality class to continuous O(N)O(N) symmetry.

Keywords

Cite

@article{arxiv.2604.21091,
  title  = {Studying 3D O(N) Surface CFT on the Fuzzy Sphere},
  author = {Jiechao Feng and Taige Wang},
  journal= {arXiv preprint arXiv:2604.21091},
  year   = {2026}
}

Comments

10 pages, 7 figures

R2 v1 2026-07-01T12:31:31.345Z