N=8 invariant interaction of dynamical and semidynamical N=4 multiplets

News, 02 August 2024

An article by researchers from the Laboratory of Theoretical Physics at JINR Sergey Fedoruk and Evgeny Ivanov was published in Physical Review C. The authors presented a new model of N=8 mechanics with semidynamic supermultiplets.

The model is constructed as an interaction of N=4 supermultiplets, which carry an implicit N=4 supersymmetry. The initial field content consists of three dynamical (1,4,3) multiplets: one bosonic and two fermionic. To ensure implicit N=4 supersymmetry, the authors introduce the superfields describing three semidynamical (4,4,0) multiplets: one fermionic and two bosonic. To avoid the second-order Lagrangian for fermions from the fermionic (1,4,3) multiplets, their velocities are converted into new auxiliary fields. After conversion, these multiplets turn into semidynamical mirror (4,4,0) multiplets without noncanonical terms in the N=8 Lagrangian at the component level. The final N=8 multiplet content is (1,8,7)⊕(8,8,0). As a first step to the ultimate N=4 superfield formulation of the model, the researchers recall a natural description of the standard and mirror (4,4,0) multiplets in the framework of N=4; d=1 biharmonic superspace.