A Super-Yang-Mills Theory Leading to the Chiral Preon Model : Particles and Fields
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概要
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A unique super-Yang-Mills 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 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 χ's are massless. They behave as {(64^*)⨁(1, 64)}_L when H is taken to be D_7×D_7. Further breaking of to A_6×A_6 is required for the preonization of these chiral fermions. Anomaly matching shows that resulting chiral preons transform as {(21,7)⨁(7^*,21^*)}_L under SU(7)×SU(7),as is just the case in the chiral preon model.
- 理論物理学刊行会の論文
- 1986-01-25
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