2020/08/31 by Jihn E. Kim · 1 citation
Physics and Astronomy · #Antisymmetric tensor #Black Holes and Theoretical Physics #Compactification (mathematics) #Gauge group #Heterotic string theory #Hidden sector #Orbifold #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Supersymmetry #Supersymmetry breaking #Type I string theory #hep-ph #hep-th
paper · pdf · doi:10.1142/s0217751x20501985
published as Int. J. Mod. Physics. A35 (2020) 2050198 · 20 pages, no figure
openalex created_date 2020/08/07 · arxiv created 2020/10/13 · arxiv updated 2020/11/13 · openalex publication_date 2020/11/20 · openalex updated_date 2026/08/05
Grand unification groups (GUTs) are constructed from SO(32) heterotic string via [Formula: see text] orbifold compactification. So far, most phenomenological studies from string compactification relied on [Formula: see text] heterotic string, and this invites the SO(32) heterotic string very useful for future phenomenological studies. Here, spontaneous symmetry breaking is achieved by Higgsing of the antisymmetric tensor representations of SU[Formula: see text]. The anti-SU[Formula: see text] presented in this paper is a completely different class from the flipped-SU[Formula: see text]’s from the spinor representations of SO[Formula: see text]. Here, we realize chiral representations: [Formula: see text] for a SU(9) GUT and [Formula: see text] for a SU(5)[Formula: see text] GUT. In particular, we confirm that the non-Abelian anomalies of SU(9) gauge group vanish and hence our compactification scheme achieves the key requirement. We also present the Yukawa couplings, in particular for the heaviest fermion, [Formula: see text], and lightest fermions, neutrinos. In the supersymmetric version, we present a scenario how supersymmetry can be broken dynamically via the confining gauge group SU(9). Three families in the visible sector are interpreted as the chiral spectra of SU[Formula: see text] GUT.