Fermion masses in the $\mathcal{N}=4$ superconformal field theory

Yan-Cheng Gu, Lingshen Liu, Hao Zhang
Comments: 34 pages, 7 figures. arXiv admin note: text overlap with arXiv:1807.06989

We study $f(\phi)$-bosonization in the $\mathcal{N}=4$ superconformal field theory (SCFT) in which the Feynman diagrams are $D \phi(D)$. The Higgs masses are determined in the $\mathcal{N}=4$ SCFT. We find that the masses of the $\mathcal{N}=4$ superconformal Higgs bosons in the $\mathcal{N}=4$ SCFT are in the range $M_{\phi}^2$ and $M_{\phi}^2/3$ where $M_{\phi}^2/3=2M_{\phi}^2/3/2$ and $M_{\phi}^2/3=3M_{\phi}^2/3/2$ where $M_{\phi}^2/3=4M_{\phi}^2/3/2$ and $M_{\phi}^2/3=5M_{\phi}^2/3/1$ respectively.