2006/06/30 by SOON-TAE HONG, Soon-Tae Hong, JOOHAN LEE +5 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #hep-th
paper · pdf · doi:10.1142/s0217732307023857
published as Mod.Phys.Lett.A22:1481-1492,2007 · 6 pages
arxiv created 2006/12/14 · openalex publication_date 2007/06/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study the supersymmetric quantum mechanics of an isospin particle in the background of spherically symmetric Yang–Mills gauge field. We show that on S 2 the number of supersymmetries can be made arbitrarily large for a specific choice of the spherically symmetric SU (2) gauge field. However, the symmetry algebra containing the supercharges becomes nonlinear if the number of fermions is greater than two. We present the exact energy spectra and eigenfunctions, which can be written as the product of monopole harmonics and a certain isospin state. We also find that the supersymmetry is spontaneously broken if the number of supersymmetries is even.