Mapping an Island in the Landscape

Abstract

We provide a complete classification and statistical analysis of all type IIA orientifold compactifications with intersecting D6-branes on the orbifold T^6/Z'_6. The total number of four dimensional N=1 supersymmetric models is found to be O(10^23). After a statistical analysis of the gauge sector properties of all possible solutions, we study three subsets of configurations which contain the chiral matter sector of the standard model, a Pati-Salam or SU(5) GUT model, respectively. We find O(10^15) compactifications with an MSSM and O(10^11) models with a Pati-Salam sector. Along the way we derive an explicit algebraic formulation for the computation of the non-chiral matter spectrum for all Z_N orbifolds.

46 pages, 10 figures; v2: typos corrected, new examples and expanded study on chiral exotics

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Cited by in corpus (43)

• Heterotic mini-landscape (II): completing the search for MSSM vacua in a Z_6 orbifold
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• To Tilt or Not To Tilt: Discrete Gauge Symmetries in Global Intersecting D-Brane Models
• Realistic Yukawa Structures from Orientifold Compactifications
• Complete Gauge Threshold Corrections for Intersecting Fractional D6-Branes: The Z6 and Z6' Standard Models
• Towards Low Energy Physics from the Heterotic String
• The Importance of Being Rigid: D6-Brane Model Building on T6/Z2xZ6' with Discrete Torsion
• Rigid D6-branes on T6/[Z(2)xZ(2M)xOmegaR] with discrete torsion
• Towards a Systematic Construction of Realistic D-brane Models on a del Pezzo Singularity
• Kaehler metrics and gauge kinetic functions for intersecting D6-branes on toroidal orbifolds - The complete perturbative story
• Discrete Abelian gauge symmetries and axions
• Constructing the supersymmetric Standard Model from intersecting D6-branes on the Z_6' orientifold
• Three-generation Models from E_8 Magnetized Extra Dimensional Theory
• Yukawa couplings and masses of non-chiral states for the Standard Model on D6-branes on T6/Z6'
• Seeing through the String Landscape - a String Hunter's Companion in Particle Physics and Cosmology
• Oddness from Rigidness
• Global embeddings for branes at toric singularities
• One-Loop Kahler Metric of D-Branes at Angles
• Correlation Classes on the Landscape: To What Extent is String Theory Predictive?
• Superpotential de-sequestering in string models
• Model building with intersecting D6-branes on smooth Calabi-Yau manifolds
• D6-Brane Model Building on Z(2)xZ(6): MSSM-like and Left-Right Symmetric Models
• Rigour and Rigidity: Systematics on particle physics D6-brane models on Z(2)xZ(6)
• Circling the Square: Deforming fractional D-branes in Type II/$\Omega \mathcal{R}$ orientifolds
• Power of Black Hole Physics: Seeing through the Vacuum Landscape
• Revisiting light stringy states in view of the 750 GeV diphoton excess
• Intersecting D6-branes on the Z_{12}-II orientifold
• Note on a NAHE Variation
• On finiteness of Type IIB compactifications: Magnetized branes on elliptic Calabi-Yau threefolds
• From Type II string theory towards BSM/dark sector physics
• Stabilising the supersymmetric Standard Model on the Z_6' orientifold
• Towards the field theory of the Standard Model on fractional D6-branes on T6/Z6': Yukawa couplings and masses
• Towards Geometric D6-Brane Model Building on non-Factorisable Toroidal ${\mathbb{Z}}_4$-Orbifolds
• Yukawa's of light stringy states
• Deformations, Moduli Stabilisation and Gauge Couplings at One-Loop
• Diversity in the Tail of the Intersecting Brane Landscape
• Statistics in the Landscape of Intersecting Brane Models
• Production of light stringy states
• Stringy surprises
• Massless Spectra and Gauge Couplings at One-Loop on Non-Factorisable Toroidal Orientifolds
• Mass Hierarchies from MSSM Orientifold Compactifications
• Deformations on Tilted Tori and Moduli Stabilisation at the Orbifold Point