Inclusion of Generations in SO(14)

Ida, Masakuni; Kayama, Yoshihiko; Kitazoe, Tetsuro

doi:10.1143/ptp.64.1745

Cited by 35 publications

(42 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…It is known in e.g., Refs. [2,3] that the candidates for grand unified theory (GUT) gauge groups in four-dimensional (4D) theories are only SU (n)(n ≥ 5), SO(4n + 2)(n ≥ 2), and E 6 because of rank and type of representations, while the candidates for GUT gauge groups in higher dimensional theories are SU (n)(n ≥ 5), SO(n)(n ≥ 9), U Sp(2n)(n ≥ 4), E n (n = 6,7,8), and F 4 . Many GUTs have been already discussed in e.g., Refs.…”

Section: Introductionmentioning

confidence: 99%

String-inspired special grand unification

Yamatsu

2017

Progress of Theoretical and Experimental Physics

View full text Add to dashboard Cite

We discuss a grand unified theory (GUT) based on an SO(32) GUT gauge group broken to its subgroups including a special subgroup. In the SO(32) GUT on six-dimensional (6D) orbifold space M 4 × T 2 /Z 2 , one generation of the SM fermions can be embedded into a 6D bulk Weyl fermion in the SO(32) vector representation. We show that for a three generation model, all the 6D and 4D gauge anomalies in the bulk and on the fixed points are canceled out without exotic chiral fermions at low energies. * Electronic address: yamatsu@cc.kyoto-su.ac.jp

show abstract

Section: Introductionmentioning

confidence: 99%

String-inspired special grand unification

Yamatsu

2017

Progress of Theoretical and Experimental Physics

View full text Add to dashboard Cite

show abstract

“…So we directly have to calculate the fermion bilinear mass term ψ T ± CM n ψ ± . Noting ψ T ± is represented by the state 39) and using the expression (4.29) of the charge conjugation operator C for n = 3, the mass terms ψ T ± CM 3 ψ ± can be calculated as follows:…”

Section: )mentioning

confidence: 99%

Dynamical breaking to special or regular subgroups in the SO(N) Nambu–Jona-Lasinio model

Kugo

Yamatsu

2020

Progress of Theoretical and Experimental Physics

View full text Add to dashboard Cite

Abstract It was recently shown that in four-dimensional $SU(N)$ Nambu–Jona-Lasinio (NJL) type models, the $SU(N)$ symmetry breaking into its special subgroups is not special but much more common than that into the regular subgroups, where the fermions belong to complex representations of $SU(N)$. We perform the same analysis for the $SO(N)$ NJL model for various $N$ with fermions belonging to an irreducible spinor representation of $SO(N)$. We find that the symmetry breaking into special or regular subgroups has some correlation with the type of fermion representations; i.e. complex, real, pseudo-real representations.

show abstract

“…That is, we must use pseudo-real representations to realize a 4D chiral gauge theory. In Table 4, only the SO(11) spinor representation 32 is a pseudo-real representation of SO (11). (The SO(11) 320 representation is the second lowest dimensional pseudo-real representation listed in Ref.…”

Section: Asymptotic Freedom and Gauge Coupling Unificationmentioning

confidence: 99%