Abstract
We construct an anomaly-free, spontaneously broken, supersymmetric grand-unified theory with no hierarchy problem. It is an SU(5) × U(1) [or, more generally, G × U(1) vectorlike extension of a previous SU(3) × SU(2) × U(1) × U(1) supersymmetric model, which includes mirror fermions and extends the idea of gauge boson/Higgs boson unification. Before the introduction of leptons and quarks and the spontaneous breaking of the supersymmetry, the theory has an N = 2 extended supersymmetry and depends on four parameters only, e, m W , m X , and m U . The photon and gluons are associated with a Dirac photino and Dirac gluinos. Each of the gauge bosons W ±, Z, Y ± 1 3 and U(respectively X ± 4 3 ) is associated with four (two) spin- 1 2 inos and five (one) spin-0 Higgs bosons. Alternately, one may disregard the extra U(1) in favor of gravity-induced supersymmetry breaking.
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