Year: 2021
Type: article
Abstract: The strategy for assigning ${\mathbf{Z}}_{4R}$ 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 $\mathrm{SU}(N)$, $N\ensuremath{\ge}9$, 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 ${\mathbf{Z}}_{4R}$ parity. Spontaneous symmetry breaking of anti-SU(5) GUT is achieved by the vacuum expectation values of two index antisymmetric tensor Higgs fields ${\mathbf{10}}_{+1}$ and ${\overline{\mathbf{10}}}_{\ensuremath{-}1}$ that led to our word ``anti-SU(5).'' In the illustrated example, the multiplicity 3 in one twisted sector allows the permutation symmetry ${S}_{3}$ that leads us to select the third family members and one MSSM pair of the Higgs quintets.
Author: Jihn E. Kim
Institution: Kyung Hee University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Awards: G5743383400, G7937276421
OpenAlex ID: W4206320641