2021/03/25 by Jihn E. Kim
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Compactification (mathematics) #Gauge group #Gauge theory #Heterotic string theory #Higgs boson #Higgs sector #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.104.016012
published as Phys. Rev. D 104, 016012 (2021) · 17 pages, no figure. arXiv admin note: substantial text overlap with arXiv:2008.00367
arxiv created 2021/03/25 · openalex publication_date 2021/07/16 · arxiv updated 2021/07/21 · openalex created_date 2022/01/25 · openalex updated_date 2026/08/05
The strategy for assigning Z4R parity in the string compactification is presented. For the visible sector, an anti-SU(5) [flipped-SU(5)] grand unification (GUT) model with three families is used to reduce the number of representations compared to the number in the minimal supersymmetric standard models. The SO(32) heterotic string is used to allow a large non-Abelian gauge group SU(N), N\ensuremath≥9, for the hidden sector such that the number of extra U(1) factors is small. A discrete subgroup of the gauge U(1)'s is defined as the Z4R parity. Spontaneous symmetry breaking of anti-SU(5) GUT is achieved by the vacuum expectation values of two index antisymmetric tensor Higgs fields 10+1 and 10_\ensuremath-1 that led to our word ``anti-SU(5).'' In the illustrated example, the multiplicity 3 in one twisted sector allows the permutation symmetry S3 that leads us to select the third family members and one MSSM pair of the Higgs quintets.