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Regulating Free-scalar and Yang--Lee 5d CFTs on the Fuzzy Four Sphere

  • Jiangyuan Qian
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Abstract

Non-commutative sphere regularization of CFT has become a powerful tool for computing conformal data of 3d CFTs and was recently extended to 4d CFTs. In this work we further construct 5d free-scalar CFT and Yang-Lee CFT on a fuzzy 4-sphere. We observe a continuous phase transition and conformal towers in these examples. We obtain the first three scalar primaries of the 5d free-scalar CFT, furthermore, we compute the 5d Yang-Lee Δϕ,Δϕ3 with Ne=10 fermions using exact diagonalization (ED) and Ne=20 fermions using density matrix renormalization group (DMRG), obtaining relatively good agreement with both ε-expansion and the Gliozzi truncated bootstrap result.

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Cite

BibTeXRIS
BibTeX
@misc{qian2026regulating,
  title = {{Regulating Free-scalar and Yang--Lee 5d CFTs on the Fuzzy Four Sphere}},
  author = {Jiangyuan Qian},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.00148},
  eprint = {2609.00148},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.00148},
}
RIS
TY  - UNPB
TI  - Regulating Free-scalar and Yang--Lee 5d CFTs on the Fuzzy Four Sphere
AU  - Jiangyuan Qian
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.00148
UR  - https://arxiv.org/abs/2609.00148
AB  - Non-commutative sphere regularization of CFT has become a powerful tool for computing conformal data of 3d CFTs and was recently extended to 4d CFTs. In this work we further construct 5d free-scalar CFT and Yang-Lee CFT on a fuzzy 4-sphere. We observe a continuous phase transition and conformal towers in these examples. We obtain the first three scalar primaries of the 5d free-scalar CFT, furthermore, we compute the 5d Yang-Lee Δ_ϕ,Δ_ϕ^3 with N_e=10 fermions using exact diagonalization (ED) and N_e=20 fermions using density matrix renormalization group (DMRG), obtaining relatively good agreement with both ε-expansion and the Gliozzi truncated bootstrap result.
ER  -