We study a prototype for the problem of determining the irreducible factors of the spaces spanned by currents between homogeneous vector bundles. More specifically, let G denote the conformal group of Minkowski space time M 0 , or more precisely, SU(2, 2). It is shown that the positive-energy unitary G-irreducible massive factors of the one-form bundle over the conformal compactification of M 0 are bundle-equivalent to spaces spanned by currents of the spinor bundle.
This has the interpretation that the Z-particle may be modelled by the representation of G of lowest K-type (LKT'') (3, 1ร2, 1ร2), where K=SU(1)\_SU(2)\_ SU(2) and (m, j, j $) refers to the representation in which the lowest eigenvalue of the SU(1) generator is m, while j and j $ are the spins of the left and right SU(2) representations. In particular, this Z'' representation is bundle-equivalent to the representation of G in a space of currents between neutrinos, of LKT (3ร2, 0, 1ร2), and antineutrinos, of LKT (3ร2, 1ร2, 0). The W \ -particle representation may similarly be modelled by the representation of G of lowest K-type (4, 0, 0), the only other massive positive-energy unitary factor of the one-form bundle. In particular, the W & is equivalent to a space of currents between the electron, of LKT (5ร2, 0, 1ร2), and the antineutrino.
These results are consistent with the possibility that all quasi-stable elementary particles may be modelled by similar subspaces of bundle products.