RELATIONS BETWEEN THE MASSES OF THE SUPERPARTNERS OF LEPTONS AND QUARKS, THE GOLDSTINO COUPLINGS AND THE NEUTRAL CURRENTS

The mass2 splittings between leptons and quarks and their spin-0 partners under supersymmetry are related to the goldstino couplings. The bosonic partner of the goldstino cannot be the photon itself. But it should be, in part, a linear combination of the various neutral gauge bosons. As a result, mass relations constrain the neutral current structure of the theory. They require the existence of at least two neutral gauge bosons in addition to the photon and suggest the possibility of a universal mass2 splitting between leptons and quarks and their spin-0 partners. © 1979.