Statistics of intersecting D-brane models on T^6/Z_6

Abstract

We perform a statistical analysis of supersymmetric intersecting D-brane models on the type II orientifold T^6/Z_6. After providing an analytic proof of the finiteness of the number of possible solutions in this setup we study the frequency distributions of properties of the gauge group and the chiral matter content. In particular we search for models with a standard model gauge group and discuss their statistical suppression. The results are compared with the recent studies on T^6/Z_2xZ_2. The analysis is conducted using a statistical method, based on the choice of random subsets of the full ensemble of solutions. This method allows to calculate the total number of models with high precision to 3x10^28.

29 pages, 9 figures; v2: typos corrected; v3: comments added, section 6 expanded

References in corpus (25)

• The statistics of string/M theory vacua
• Toward Realistic Intersecting D-Brane Models
• A Mini-Landscape of Exact MSSM Spectra in Heterotic Orbifolds
• Fractional Branes and Wrapped Branes
• Supersymmetric Standard Model Spectra from RCFT orientifolds
• Fractional Branes and Boundary States in Orbifold Theories
• D-brane probes, RR tadpole cancellation and K-theory charge
• Orientifolds, hypercharge embeddings and the Standard Model
• Intersecting Brane Worlds -- A Path to the Standard Model ?
• The Statistics of Supersymmetric D-brane Models
• One in a Billion: MSSM-like D-Brane Statistics
• Supersymmetric Intersecting Branes on the Type IIA T^6/Z_4 orientifold
• Chiral Supersymmetric Standard Model Spectra from Orientifolds of Gepner Models
• Getting just the Supersymmetric Standard Model at Intersecting Branes on the Z6-orientifold
• Statistics on the Heterotic Landscape: Gauge Groups and Cosmological Constants of Four-Dimensional Heterotic Strings
• The landscape of intersecting brane models
• Statistics of M theory Vacua
• A Review of Distributions on the String Landscape
• Surveying Standard Model Flux Vacua on $T^6/Z_2\times Z_2$
• Towards the supersymmetric standard model from intersecting D6-branes on the Z_6' orientifold
• Fighting the Floating Correlations: Expectations and Complications in Extracting Statistical Correlations from the String Theory Landscape
• D=4, N=1 orientifolds with vector structure
• Statistics of SU(5) D-Brane Models on a Type II Orientifold
• Gauge sector statistics of intersecting D-brane models
• Standard Model statistics of a Type II orientifold

Cited by in corpus (24)

• The Heterotic Road to the MSSM with R parity
• To Tilt or Not To Tilt: Discrete Gauge Symmetries in Global Intersecting D-Brane Models
• Heterotic Z6-II MSSM Orbifolds in Blowup
• Mapping an Island in the Landscape
• Complete Gauge Threshold Corrections for Intersecting Fractional D6-Branes: The Z6 and Z6' Standard Models
• 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
• Kaehler metrics and gauge kinetic functions for intersecting D6-branes on toroidal orbifolds - The complete perturbative story
• Discrete Abelian gauge symmetries and axions
• 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
• Building a Nest at Tree Level: Classical Metastability and Non-Trivial Vacuum Structure in Supersymmetric Field Theories
• Orientifold's Landscape: Non-Factorisable Six-Tori
• Correlation Classes on the Landscape: To What Extent is String Theory Predictive?
• 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)
• Power of Black Hole Physics: Seeing through the Vacuum Landscape
• Circling the Square: Deforming fractional D-branes in Type II/$\Omega \mathcal{R}$ orientifolds
• Towards the field theory of the Standard Model on fractional D6-branes on T6/Z6': Yukawa couplings and masses
• From Type II string theory towards BSM/dark sector physics
• Stabilising the supersymmetric Standard Model on the Z_6' orientifold
• Towards Geometric D6-Brane Model Building on non-Factorisable Toroidal ${\mathbb{Z}}_4$-Orbifolds
• Diversity in the Tail of the Intersecting Brane Landscape
• Statistics in the Landscape of Intersecting Brane Models