Yukawa couplings and phenomenology of a three-generation superstring model with a new complex structure

Journal Article · Wed Jun 01 04:00:00 EDT 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.37.3284· OSTI ID:5263696

Kalara, S; Mohapatra, P K; Mohapatra, R N

We consider the CP/sup 3/ x CP/sup 3/-based Calabi-Yau manifold proposed by Yau to compactify the ten-dimensional superstring models to four dimensions and study the implications for quark-lepton physics by choosing a different set of hypersurfaces in the CP/sup 3/ x CP/sup 3/ space than considered previously. The new set of hypersurfaces are obtained by identifying points related by Z/sub 3/ symmetry which shifts x/sub i/..-->..x/sub i+1/ and y/sub i/..-->..y/sub i+1/ (mod 3) for i = 1,...,3. We study the discrete symmetries of this manifold and obtain transformation properties of the various 27 and 27-bar fields under these symmetries. This is followed by an explicit calculation of the Yukawa couplings of (27)/sup 3/ type and a discussion of the E/sub 6/-singlet fields and their couplings. We then discuss some phenomenological implications of the model.

• Research Organization: School of Physics and Astronomy, University of Minnesota--Minneapolis, Minneapolis, Minnesota 55455
• OSTI ID: 5263696
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 37:11; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
CP INVARIANCE
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
FUNCTIONS
HIGGS BOSONS
INVARIANCE PRINCIPLES
LEPTONS
LIE GROUPS
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL MODELS
NUCLEAR POTENTIAL
PARTICLE MODELS
POLYNOMIALS
POSTULATED PARTICLES
POTENTIALS
QUARK MODEL
QUARKS
STRING MODELS
SU GROUPS
SU-3 GROUPS
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
UNIFIED-FIELD THEORIES
YUKAWA POTENTIAL