Chiral Ones Research Articles

A Super-Yang-Mills Theory Leading to the Chiral Preon Model

A unique super-Yang-Mills theory is obtained by looking for hierarchical unification theories underly­ ing the chiral preon model. It has G=E8XE8 as the gauge group. When spontaneous breaking of G to a subgroup H of it occurs, the coset space G/ H on which Goldstone bosons X take values is shown to be a non-Kaehler complex manifold. Supersymmetry is necessarily broken by non-vanishing torsion of the hermitian connection on G/ H as a hermitian manifold. Only the chiral ones among the superpartners of the x's are massless. They behave as {(64*, l)EB(l, 64)h when H is taken to be D7 XD7 • Further breaking of H to A 6 X A 6 is required for the preonization of these chiral fermions. Anomaly matching shows that resulting chiral preons transform as {(21, 7)EB(7*, 21*) h under SU(7) x SU(7), as is just the case in the chiral preon model.

ChiralSU(7)?SU(7) preon model as a hierarchical unification theory

A chiralSU(7) ⊗SU(7) gauge model is selected out of a wide class of preon models. It contains a pair of chiral preons as well as vectorial ones. Mass splittings of the latter cause rank-retaining breakings of the hyperflavor gauge symmetry in the preonic phase. Hypercolor confinement of preons and the feature of chiral ones among resulting postons (or hyperhadrons) are studied. Rank-decreasing breakings of the hyperflavor symmetry occur successively in the postonic phase as chiral postons acquire dynamical masses. Our coupled equations for quark masses are based on the assumption that electroweak symmetry breaking is due to the cooperation of short-range postonic forces with the infinite-range gluonic one. Updown asymmetry of quark masses are discussed in terms of the equations.