2024/02/01 by Sergey Fedoruk, Evgeny Ivanov, Fedoruk, Sergey +1
Computer Science · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.2402.00539
openalex publication_date 2024/02/01 · openalex created_date 2024/02/03 · openalex updated_date 2026/07/28
We present a new model of N= 8 mechanics with semi-dynamic 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 (\bf 1, 4, 3) multiplets: one bosonic and two fermionic. To ensure implicit 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 N= 8 Lagrangian at the component level. The final N= 8 multiplet content is (\bf 1, 8, 7) ⊕ (\bf 8, 8, 0). As a first step to the ultimate 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 N= 4, d= 1 biharmonic superspace.