Abstract
The problem of families, “Why are there three families of fermions?”, is a long awaited question to be answered within a reasonable framework. We propose anti-SU(N ) groups for the unification of families in grand unification (GUT) groups, where the separation of color and weak gauge groups in the GUT is achieved by antisymmetric tensor Brout-Englert-Higgs boson instead of an adjoint representation. Theories of anti-SU(N )’s are proposed for the unification of families. The minimal model is found as SU(7)anti2 GUT with the fermion representation \( \left[3\right]+2\left[2\right]+8\left[\overline{1}\right] \). We present an example in a Z 12−I orbifold compactification, where the missing partner mechanism is also realized.
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Kim, J.E. Towards unity of families: anti-SU(7) from Z 12−I orbifold compactification. J. High Energ. Phys. 2015, 114 (2015). https://doi.org/10.1007/JHEP06(2015)114
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DOI: https://doi.org/10.1007/JHEP06(2015)114