2018
DOI: 10.1093/ptep/pty100
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Family unification in special grand unification

Abstract: We discuss family unification in grand unified theory (GUT) based on an SU (19) GUT gauge group broken to its subgroups including a special subgroup. In the SU (19) GUT on the six-dimensional (6D) orbifold space M 4 × T 2 /Z 2 , three generations of the 4D SM Weyl fermions can be embedded into a 6D bulk Weyl fermions in an SU (19) second-rank anti-symmetric tensor representation. 6D and 4D gauge anomalies can be canceled out by considering proper matter content without 4D exotic chiral fermions at low energies… Show more

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Cited by 15 publications
(19 citation statements)
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“…Recently, an alternative gauge-Higgs unification model with quark-lepton multiplets introduced in the spinor, vector, and singlet representations of SOð5Þ, which is referred to as the B model below, has been proposed [13]. The B model can be embedded in the SOð11Þ gauge-Higgs grand unification [35][36][37][38][39][40][41][42], where the SM gauge group and quark-lepton content are incorporated into the grand unified theory (GUT) [43][44][45][46][47][48] in a higher-dimensional framework [49][50][51][52][53][54][55][56][57][58][59].…”
Section: Introductionmentioning
confidence: 99%
“…Recently, an alternative gauge-Higgs unification model with quark-lepton multiplets introduced in the spinor, vector, and singlet representations of SOð5Þ, which is referred to as the B model below, has been proposed [13]. The B model can be embedded in the SOð11Þ gauge-Higgs grand unification [35][36][37][38][39][40][41][42], where the SM gauge group and quark-lepton content are incorporated into the grand unified theory (GUT) [43][44][45][46][47][48] in a higher-dimensional framework [49][50][51][52][53][54][55][56][57][58][59].…”
Section: Introductionmentioning
confidence: 99%
“…• The only non-trivial case where all fermions can be embedded in a single representation2 is by using the 171 representation of SU(19). This possibility was also mentioned in [11].…”
Section: Pos(ichep2020)241mentioning
confidence: 67%
“…It is known that the 6D gauge anomalies can be canceled out by introducing additional 6D USp(32) 32 negative Weyl fermions with different BCs as discussed in Refs. [19][20][21]. Parity assignments of Ψ (a) 32 are shown in Table 3 We check contributions to 4D brane anomalies from the above 6D Weyl fermion sets.…”
Section: Fermionic Sectormentioning
confidence: 99%
“…where the subscript of arrows (R) stands for a regular subgroup breaking, G SM := SU (3) C × SU (2) L × U (1) Y stands for the SM gauge group, G PS := SU (2) L × SU (2) R × SU (4) C stands for the Pati-Salam group [18], and we omitted several U (1) subgroups. A few GUT models [19][20][21] have been already proposed based on GUT gauge groups which are broken not only to regular subgroups but also to special subgroups; e.g.,…”
Section: Introductionmentioning
confidence: 99%