Revisiting the $\mathcal{N}=1$ supersymmetric trinification models from intersecting D6-branes

Abstract

We revisit the construction of the $\mathcal{N}=1$ supersymmetric trinification models with gauge group $\mathrm{U}(3{)}_C\times \mathrm{U}(3{)}_L\times \mathrm{U}(3{)}_R$ in Type IIA string theory on ${\mathbf{T}}^6/({\mathbb{Z}}_2\times {\mathbb{Z}}_2)$ orientifold with intersecting D6-branes. The non-trivial K-theory conditions and tadpole cancellation conditions severely restrict the number of allowed models even for the case of rectangular two-tori. Using a supervised search algorithm, we find a few four-family models where the highest wrapping number is 2. For these models, we present the complete particle spectra and the gauge coupling relations at the string-scale.

arXiv comment18 pages, accepted in CTP. arXiv admin note: substantial text overlap with arXiv:2212.09644, arXiv:2303.02864

References in corpus (29)

• D-Branes And K-Theory
• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Consistency Conditions for Orientifolds and D-Manifolds
• Chiral Four-Dimensional N=1 Supersymmetric Type IIA Orientifolds from Intersecting D6-Branes
• Three-Family Supersymmetric Standard-like Models from Intersecting Brane Worlds
• D-Branes at Singularities : A Bottom-Up Approach to the String Embedding of the Standard Model
• D=4 Chiral String Compactifications from Intersecting Branes
• TeV Scale Superstring and Extra Dimensions
• Getting just the Standard Model at Intersecting Branes
• Scattering of Gauge, Matter, and Moduli Fields from Intersecting Branes
• Chiral 4d string vacua with D-branes and NSNS and RR fluxes
• Building MSSM Flux Vacua
• D-brane probes, RR tadpole cancellation and K-theory charge
• Supersymmetric Pati-Salam Models from Intersecting D6-branes: A Road to the Standard Model
• MSSM vacua from Flux Compactifications
• Gauge Unification in Supersymmetric Intersecting Brane Worlds
• Dynamical Supersymmetry Breaking in Standard-like Models with Intersecting D6-branes
• Standard-Like Model Building on Type II Orientifolds
• Dynamical Electroweak Symmetry Breaking with a Heavy Fourth Generation
• Flavor structure and coupling selection rule from intersecting D-branes
• Fermion Masses and Mixing in Intersecting Branes Scenarios
• The Supersymmetry Breaking Soft Terms, and Fermion Masses and Mixings in the Supersymmetric Pati-Salam Model from Intersecting D6-branes
• Flavor Democracy in Particle Physics
• The Final Model Building for the Supersymmetric Pati-Salam Models from Intersecting D6-Branes
• The Complete Search for the Supersymmetric Pati-Salam Models from Intersecting D6-Branes
• The hidden sector variations in the $\mathcal{N}=1$ supersymmetric three-family Pati-Salam models from intersecting D6-branes
• Standard Model-like D-brane models and gauge couplings
• Three-family supersymmetric Pati-Salam models with symplectic groups from intersecting D6-branes
• Four-Family $\mathcal{N}=1$ Supersymmetric Pati-Salam Models from Intersecting D6-Branes

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• Three-family supersymmetric Pati-Salam models from intersecting D6-branes on rigid cycles
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