发表机构
Weizmann Institute of Science（魏茨曼科学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究在模糊四维球上构建五维自由标量与Yang-Lee CFT，观测到连续相变与共形塔，计算其标量 primary 场及Δ_φ、Δ_{φ³}，结果与ε展开法、Gliozzi截断自举法吻合较好。
AI 中文摘要
共形场论（CFT）的非交换球正则化已成为计算三维CFT共形数据的有力工具，近期还被拓展至四维CFT。本研究进一步在模糊四维球上构建五维自由标量CFT与Yang-Lee CFT，观测到这些体系存在连续相变与共形塔。研究得到五维自由标量CFT的前三个标量 primary 场，还通过精确对角化（ED）计算了含Ne=10个费米子的五维Yang-Lee的Δ_φ、Δ_{φ³}，通过密度矩阵重正化群（DMRG）计算了含Ne=20个费米子的对应量，所得结果与ε展开法、Gliozzi截断自举法的结果均吻合较好。
英文摘要
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.
Comments19 pages, 8 figures
