Standard Models and Split Supersymmetry from Intersecting Brane Orbifolds

Abstract

We construct four dimensional three generation non-supersymmetric $SU(3{)}_c\times SU(2{)}_L\times U(1{)}_Y$ intersecting D6-brane models with ${\nu }_R$\rq{s}. At three stacks we find exactly the MSSM chiral fermion matter spectrum. At 4-, 5-stacks we find models with the massless fermion spectrum of the N=1 Standard Model and massive exotic non-chiral matter; these models flow also to only the SM. At 8-stacks we find MSSM-like models, with minimal massless exotics, made from two different N=1 sectors. Exotic triplet masses put a lower bound on the string scale of $2.79/2.89\times 10^6$ GeV for a Higgs 124/126 GeV. It\rq{}s the first appearance of N=0 stringy quivers with the MSSM and matter in antisymmetric representations and perturbatively missing Yukawa couplings. The present models are based on orientifolds of ${\mathbf{T}}^6/({\mathbf{Z}}_3\times {\mathbf{Z}}_3)$ compactifications of IIA theory based on the torus lattice AAA; all complex moduli are fixed by the orbifold symmetry. We also present the spectrum rules + GS anomaly cancellation for the ABB lattice. Moreover, we point out the relevance of intersecting/and present D6-brane constructions on ideas related to existence of split supersymmetry in nature. In this context we present non-susy models with only the SM-matter and also MSSM-matter dominated models, with massive gauginos and light higgsinos, that achieve the correct supersymmetric GUT value for the Weinberg angle $si{n}^2\theta =\frac{3}{8}$ at a string scale $5\cdot 10^{13}GeV<M_S<1.4\cdot 10^{17}$ GeV. It appears that if only the SM survives at low energy the unification scale is preserved at $5.03\times 10^{13}$ GeV when n${}_H$ =1, 3, 6. These models support the existence of split supersymmetry scenario in string theory.

60 pages, LaTex; D-brane models are non-susy. Non-susy models with sin^2 θ=3/8 are also accommodated and split susy models are investigated, V4 sections 8(ABB lattice), 10(non-susy unification of gauge couplings) added

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Cited by in corpus (18)

• Toward Realistic Intersecting D-Brane Models
• The Statistics of Supersymmetric D-brane Models
• Neutralino Dark Matter Detection in Split Supersymmetry Scenarios
• Hierarchically Split Supersymmetry with Fayet-Iliopoulos D-terms in String Theory
• The Intermediate Scale MSSM, the Higgs Mass and F-theory Unification
• Split Supersymmetry from Anomalous U(1)
• A Calculable Toy Model of the Landscape
• Intersecting Brane Worlds at One Loop
• Standard Model Compactifications of IIA Z3 x Z3 Orientifolds from Intersecting D6-branes
• MSSM GUT String Vacua, Split Supersymmetry and Fluxes
• Tachyonic Squarks in Split Supersymmetry
• Structure of split supersymmetry and simple models
• Distinguishing split supersymmetry in Higgs signals at the Large Hadron Collider
• Towards Large Volume Big Divisor D3-D7 "mu-Split Supersymmetry" and Ricci-Flat Swiss-Cheese Metrics, and Dimension-Six Neutrino Mass Operators
• Vacuum Stability in Split Susy and Little Higgs Models
• In Search of the (Minimal Supersymmetric) Standard Model String
• R-symmetries from higher dimensions
• Topics in Supergravity Phenomenology