A SuperYangMills Theory Leading to the Chiral Preon Model
Abstract
A unique SuperYangMills theory is obtained by looking for hierarchical unification theories underlying the chiral preon model. It has G=E_8 × E_8 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 χ take values is shown to be a nonKaehler complex manifold. Supersymmetry is necessarily broken by nonvanishing torsion of the hermitian connection on G/H as a hermitian manifold. Only the chiral ones among the superpartners of the χ's are massless. They behave as \{ (textbf{64}^*,textbf{1}) øplus (textbf{1},textbf{64}) \}_L when H is taken to be D_7 × D_7. Further breaking of H to A_6 × A_6 is required for the preonization of these chiral fermions. Anomaly matching shows that resulting chiral preons transform as \{ (textbf{21},textbf{7}) øplus (textbf{7}^*,textbf{21}^*) \}_L under SU(7) × SU(7), as is just the case in the chiral preon model.
 Publication:

Progress of Theoretical Physics
 Pub Date:
 January 1986
 DOI:
 10.1143/PTP.75.105
 Bibcode:
 1986PThPh..75..105I