Flux Vacua Statistics for Two-Parameter Calabi-Yau's

Abstract

We study the number of flux vacua for type IIB string theory on an orientifold of the Calabi-Yau expressed as a hypersurface in WCP^4[1,1,2,2,6] by evaluating a suitable integral over the complex-structure moduli space as per the conjecture of Douglas and Ashok. We show that away from the singular conifold locus, one gets a power law, and that the (neighborhood) of the conifold locus indeed acts as an attractor in the (complex structure) moduli space. We also study (non)supersymmetric solutions near the conifold locus.In the process, we evaluate the periods near the conifold locus. We also study (non)supersymmetric solutions near the conifold locus, and show that supersymmetric solutions near the conifold locus do not support fluxes.

17 pages, LaTex; Part of AN's BTech end-of-undergraduate-freshman(=first)-year summer project at IIT Roorkee; v3: a reference and clarifying text and equations added, a numerical error corrected

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• Statistics on the Heterotic Landscape: Gauge Groups and Cosmological Constants of Four-Dimensional Heterotic Strings
• On the Explicit Construction and Statistics of Calabi-Yau Flux Vacua
• Statistics of M theory Vacua
• Supersymmetry versus Gauge Symmetry on the Heterotic Landscape
• A Review of Distributions on the String Landscape
• Surveying Standard Model Flux Vacua on $T^6/Z_2\times Z_2$
• On the Existence of Non-Supersymmetric Black Hole Attractors for Two-Parameter Calabi-Yau's and Attractor Equations
• Fighting the Floating Correlations: Expectations and Complications in Extracting Statistical Correlations from the String Theory Landscape
• Random Polynomials and the Friendly Landscape
• $Z_N$ Orientifolds with Flux
• Moduli Stabilisation and the Statistics of SUSY Breaking in the Landscape
• Correlation Classes on the Landscape: To What Extent is String Theory Predictive?
• Gauge sector statistics of intersecting D-brane models
• Systematics of perturbatively flat flux vacua
• On the Search for Low $W_0$
• Type IIB Flux Vacua at Large Complex Structure
• Joint Statistics of Cosmological Constant and SUSY Breaking in Flux Vacua with Nilpotent Goldstino