2D (dimensional) Boson-Fermion correspondence is a well-known object. In this paper, we define 3D Fermions ${\mathrm{\Gamma }}_{\overrightarrow{m}}$ and ${\mathrm{\Gamma }}_{\overrightarrow{m}}^{⁎}$ for any vertex $\overrightarrow{m}$ and the representation space $\mathcal{F}$, we find that $\mathcal{F}$ is isomorphic to the vector space of 3D Young diagrams. Operators ${\mathrm{\Gamma }}_{\overrightarrow{m}}$ and ${\mathrm{\Gamma }}_{\overrightarrow{m}}^{⁎}$ are defined with amplitudes, which are described by complex numbers $e_1,e_2,e_3$ satisfying $e_1+e_2+e_3=0$, then we find that ${\mathrm{\Gamma }}_{\overrightarrow{m}}$ and ${\mathrm{\Gamma }}_{\overrightarrow{m}}^{⁎}$ have relations with the generators in affine Yangian, and states in $\mathcal{F}$ are corresponding to 3-Schur functions. We also discuss the slice of state in $\mathcal{F}$, which corresponds to the slice of 3D Young diagram. Finally, we show that in special case, 3D Fermions and the representation space become ordinary 2D Fermions and charged zero Fermionic Fock space respectively.

二维（维数）玻色子-费米子对应是一个众所周知的对象。在本文中，我们定义了 3D 费米子${\mathrm{\Gamma }}_{\overrightarrow{米}}$ 和 ${\mathrm{\Gamma }}_{\overrightarrow{米}}^{⁎}$ 对于任何顶点 $\overrightarrow{米}$ 和表示空间 $\mathcal{F}$，我们发现 $\mathcal{F}$与 3D Young 图的向量空间同构。运营商${\mathrm{\Gamma }}_{\overrightarrow{米}}$ 和 ${\mathrm{\Gamma }}_{\overrightarrow{米}}^{⁎}$ 用幅度定义，幅度用复数描述 ${\mathrm{电子}}_1,{\mathrm{电子}}_2,{\mathrm{电子}}_3$ 满意 ${\mathrm{电子}}_1+{\mathrm{电子}}_2+{\mathrm{电子}}_3=0$，那么我们发现 ${\mathrm{\Gamma }}_{\overrightarrow{米}}$ 和 ${\mathrm{\Gamma }}_{\overrightarrow{米}}^{⁎}$ 与仿射阳安中的生成器有关系，并在 $\mathcal{F}$对应于 3-Schur 函数。我们还讨论了状态切片$\mathcal{F}$，对应于 3D Young 图的切片。最后，我们证明在特殊情况下，3D 费米子和表示空间分别变成普通的 2D 费米子和带电零费米子 Fock 空间。