2018/04/08 by Yukihiro Fujimoto, K. Hasegawa, Fujimoto, Yukihiro +9
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Topological Materials and Phenomena
paper · pdf · doi:10.48550/arxiv.1804.02626
openalex publication_date 2018/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate a new realization of extended quantum-mechanical supersymmetry. We first show that an N=2 quantum-mechanical supersymmetry is hidden in the four-dimensional (4D) spectrum of the Kaluza-Klein decomposition for the higher dimensional Dirac field, that is, Kaluza-Klein mode functions of 4D right-handed spinors and 4D left-handed ones form N=2 supermultiplets. In addition to N=2 supersymmetry, we discover that an N-extended supersymmetry (N = d+2 (d+1) for d= even (odd) extra dimensions) is further hidden in the 4D spectrum. The extended symmetry can explain additional degeneracy of the spectrum. Furthermore, we show that a superpotential can be introduced into the N-extended supercharges and clarify the condition to preserve the supersymmetry. The partial breaking of the supersymmetry is also demonstrated.