Gauge coupling unification in the~flipped $E_8$ GUT
Teoretičeskaâ i matematičeskaâ fizika, Tome 218 (2024) no. 2, pp. 341-388
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The gauge coupling unification is investigated at the classical level under the assumptions that the gauge symmetry breaking chain is $E_8\to E_7\times U_1 \to E_6\times U_1 \to SO_{10}\times U_1 \to SU_5 \times U_1 \to SU_3 \times SU_2 \times U_1$ and only components of the representations 248 of $E_8$ can acquire vacuum expectation values. We demonstrate that there are several options for the relations between the gauge couplings of the resulting theory, but the only symmetry breaking pattern corresponds to $\alpha_3=\alpha_2$ and $\sin^2\theta_\mathrm{W}=3/8$. Moreover, only for this option does the particle content of the resulting theory include all MSSM superfields. It is also noted that this symmetry breaking pattern corresponds to the case where all representation that acquire vacuum expectation values have the minimal absolute values of the relevant $U_1$ charges.
Keywords:
Grand Unified theories
Mots-clés : exceptional Lie algebras
Mots-clés : exceptional Lie algebras
@article{TMF_2024_218_2_a8,
author = {K. V. Stepanyantz},
title = {Gauge coupling unification in the~flipped $E_8$ {GUT}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {341--388},
publisher = {mathdoc},
volume = {218},
number = {2},
year = {2024},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2024_218_2_a8/}
}
K. V. Stepanyantz. Gauge coupling unification in the~flipped $E_8$ GUT. Teoretičeskaâ i matematičeskaâ fizika, Tome 218 (2024) no. 2, pp. 341-388. http://geodesic.mathdoc.fr/item/TMF_2024_218_2_a8/