2025/12/18 by Kozyrev, Nikolay
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics
paper · pdf · doi:10.48550/arxiv.2512.16477
openalex publication_date 2025/12/18 · openalex created_date 2025/12/21 · openalex updated_date 2026/07/28
In this article we consider the construction of the superconformal mechanics that realize SU(1,1|n) and OSp(6|2) symmetries and involve interactions with non-Abelian bosonic currents. If is shown that for N>4 supersymmetries the currents involved have to satisfy the algebraic equations. General considerations on methods of solving these equations are given. In the obtained particular solutions currents are expressed in terms of semi-dynamical variables (harmonics), and, on one instance, coordinates and momenta.