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.

Categories: hep-th

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