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to our own also needs to be understood. Such unification may also
require that the supersymmetry group possess irreducible
representations with infinite reductiori on the Poincare subgroup,
to accommodate an infinite set of particles. Such possibilities
were 5 envisaged long ago and have recently reappeared in
Kaluza-Klein . 6 d' . th 7 S . l' th supergraVlty an m superstnng
eory. upersymmetry Imp Ies at forces that are mediated by bose
exchange must be complemented by forces that are due to the
exchange of fermions. The masslessness of neutrinos is
suggestive-we continue to favor the idea that neutrinos are
fundamental to weak interactions, that they will finally play a
more central role than the bit part assigned to them in
Weinberg-Salam theory. There seems to be little room for doubting
that supersymmetry is badly broken-so where should one be looking
for the first tangible manifestations of it? It is remarkable that
the successes that can be legitimately claimed for supersymmetry
are all in the domain of massless particles and fields.
Supergravity is not renormalizable, but it is an improvement (in
this respect) over ordinary quantum gravity. Finite super
Yang-Mills theories are not yet established, but there is now a
strong concensus that they soon will be. In both cases massless
fields are involved in an essential way.
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