标题： $\mathcal{N}{=}\,8$动力学和半动力学$\mathcal{N}{=}\,4$多重态的不变相互作用 显示英文标题

标题： $\mathcal{N}{=}\,8$ invariant interaction of dynamical and semi-dynamical $\mathcal{N}{=}\,4$ multiplets

摘要： 我们提出了一种新的$\mathcal{N}{=}\,8$力学模型，其中包含半动力超多重态。 该模型被构建为携带隐式$\mathcal{N}{=}\,4$超对称性的$\mathcal{N}{=}\,4$超多重态的相互作用。 初始场内容由三个动力学$({\bf 1, 4, 3})$超多重态组成：一个玻色子和两个费米子。 为了确保隐式$\mathcal{N}{=}\,4$超对称性，我们引入了描述三个半动力学$({\bf 4, 4, 0})$超多重态的超场：一个费米子和两个玻色子。 为了避免来自费米子$({\bf 1, 4, 3})$超多重态的二次拉格朗日项，对其速度转换为新辅助场的操作进行了处理。 转换后，这些多重态变成了半动力学镜像$({\bf 4, 4, 0})$多重态，在$\mathcal{N}{=}\,8$的分量拉格朗日量中没有非规范项。最终的$\mathcal{N}{=}\,8$多重态内容是$({\bf 1, 8, 7}) \oplus ({\bf 8, 8, 0})$。作为该模型最终$\mathcal{N}{=}\,4$超场表述的第一步，我们在此提醒在$\mathcal{N}{=}\,4, d{=}\,1$双谐波超空间框架下标准和镜像$({\bf 4, 4, 0})$多重态的自然描述。 显示英文摘要

摘要： We present a new model of $\mathcal{N}{=}\,8$ mechanics with semi-dynamic supermultiplets. The model is constructed as an interaction of $\mathcal{N}{=}\,4$ supermultiplets which carry an implicit $\mathcal{N}{=}\,4$ supersymmetry. The initial field content consists of three dynamical $({\bf 1, 4, 3})$ multiplets: one bosonic and two fermionic. To ensure implicit $\mathcal{N}{=}\,4$ supersymmetry, we introduce the superfields describing three semi-dynamical $({\bf 4, 4, 0})$ multiplets: one fermionic and two bosonic. To avoid the second-order Lagrangian for fermions from the fermionic $({\bf 1, 4, 3})$ multiplets, the conversion of their velocities into new auxiliary fields is carried out. After conversion, these multiplets turn into semi-dynamical mirror $({\bf 4, 4, 0})$ multiplets without non-canonical terms in the $\mathcal{N}{=}\,8$ Lagrangian at the component level. The final $\mathcal{N}{=}\,8$ multiplet content is $({\bf 1, 8, 7}) \oplus ({\bf 8, 8, 0})$. As a first step to the ultimate $\mathcal{N}{=}\,4$ superfield formulation of the model, we remind a natural description of the standard and mirror $({\bf 4, 4, 0})$ multiplets in the framework of $\mathcal{N}{=}\,4, d{=}\,1$ biharmonic superspace.