Abstract
We review earlier proposals for E8 family unification, and discuss why recent work of Kovner and Shifman on condensates in supersymmetric Yang–Mills theories suggests the reconsideration of E8 supersymmetric Yang–Mills as a family unification theory.
Highlights
One of the outstanding mysteries of the current standard model is the triple repetition of fundamental fermions
The gauge bosons are as usual in the adjoint representation of the group, and left-handed Weyl fermions are placed in one or more additional representations, chosen to give cancellation of anomalies together with the standard model fermion structure under breaking of the unification group to SU(3) × SU(2) × U(1)
The point that an E8 unification model is automatically supersymmetric was made independently more than twenty years ago by Baaklini [3], by Bars and Gunaydin [4], and by Konshtein and Fradkin [5], was followed up on in a paper of Koca [6], and was briefly noted in Slansky’s comprehensive review [7] of group theory for model building
Summary
One of the outstanding mysteries of the current standard model is the triple repetition of fundamental fermions. The gauge bosons are as usual in the adjoint representation of the group, and left-handed Weyl fermions are placed in one or more additional representations, chosen to give cancellation of anomalies together with the standard model fermion structure under breaking of the unification group to SU(3) × SU(2) × U(1).
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