2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223521Due to chiral supersymmetry the (nonzero mode) spectral and symmetry properties of a 4-dimensional, self-dual Dirac-Yang-Mills operator $\D$ can be recovered from those of the corresponding scalar Laplacian $D^2$. It is shown that a similar result holds for higher spins, and that in the 4-vector case the super-symmetric partners are $-D^21_4$ and the fluctuation operator. The reduction to $D^2$ is used to simplify previous analyses of the (nonzero mode) spectrum of $\D$ and of the fluctuations for a BPS-monopole, and to explain the Kepler and su(2/2) (super)symmetries of a system studied recently by D'Hoker and Vinet.Neither the original text nor the list of references, published as Int. Journ. Mod. Phys. A4, 5277-5285 (1989), have been updated. We dedicate this electronic version to the memory of Lochlainn O'Raifeartaigh, our late teacher, collaborator and friendHigh Energy Physics - Theorytext