Type IIB flux vacua and tadpole cancellation

Abstract

We consider flux vacua for type IIB orientifold compactifications and study their interplay with the tadpole-cancellation condition. As a concrete example we focus on ${\mathbb{T}}^6/{\mathbb{Z}}_2\times {\mathbb{Z}}_2$, for which we find that solutions to the F-term equations at weak coupling, large complex structure and large volume require large flux contributions. Such contributions are however strongly disfavored by the tadpole-cancellation condition. We furthermore find that solutions which stabilize moduli in this perturbatively-controlled regime are only a very small fraction of all solutions, and that the space of solutions is not homogenous but shows characteristic void structures and vacua concentrated on submanifolds.

arXiv comment59 pages, 10 figures

References in corpus (50)

• Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications
• M Theory, Orientifolds and G-Flux
• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux compactifications in string theory: a comprehensive review
• The statistics of string/M theory vacua
• Distributions of flux vacua
• A Note on the Green - Schwarz Mechanism in Open - String Theories
• Moduli Stabilization from Fluxes in a Simple IIB Orientifold
• RR Flux on Calabi-Yau and Partial Supersymmetry Breaking
• The effective action of N=1 Calabi-Yau orientifolds
• Nongeometric Flux Compactifications
• K-theory and Ramond-Ramond charge
• Counting Flux Vacua
• N=1 effective potential from dual type-IIA D6/O6 orientifolds with general fluxes
• Distributions of nonsupersymmetric flux vacua
• GUTs in Type IIB Orientifold Compactifications
• Moduli Stabilization in Chiral Type IIB Orientifold Models with Fluxes
• T-Duality, Space-time Spinors and R-R Fields in Curved Backgrounds
• Moduli Stabilisation versus Chirality for MSSM like Type IIB Orientifolds
• Chiral 4d string vacua with D-branes and NSNS and RR fluxes
• More Dual Fluxes and Moduli Fixing
• A D=4 N=1 Orbifold of Type I Strings
• Generalized N=1 Orientifold Compactifications and the Hitchin functionals
• Enumerating Flux Vacua with Enhanced Symmetries
• Generalized Flux Vacua
• Basic results in Vacuum Statistics
• On the Explicit Construction and Statistics of Calabi-Yau Flux Vacua
• On the Taxonomy of Flux Vacua
• Uplifting Runaways
• Charting the landscape of N=4 flux compactifications
• D terms from D-branes, gauge invariance and moduli stabilization in flux compactifications
• Toric Geometry and Enhanced Gauge Symmetry of F-Theory/Heterotic Vacua
• Moduli Stabilization in Type IIB Orientifolds (I)
• A Flux-Scaling Scenario for High-Scale Moduli Stabilization in String Theory
• Statistics of M theory Vacua
• Non-geometric backgrounds in string theory
• Flux algebra, Bianchi identities and Freed-Witten anomalies in F-theory compactifications
• Finding all flux vacua in an explicit example
• Landau-Ginzburg Vacua of String, M- and F-Theory at c=12
• Exotic branes and non-geometric fluxes
• Non-geometric flux vacua, S-duality and algebraic geometry
• $P$ fluxes and exotic branes
• The Generalized Green-Schwarz Mechanism for Type IIB Orientifolds with D3- and D7-Branes
• Distribution of Flux Vacua around Singular Points in Calabi-Yau Moduli Space
• Statistics of Flux Vacua for Particle Physics
• On T-duality transformations for the three-sphere
• Persistent Homology and String Vacua
• On modular completion of generalized flux orbits
• On the Scarcity of Weak Coupling in the String Landscape
• Dimensional Reductions of DFT and Mirror Symmetry for Calabi-Yau Three-folds and $K3\times T^2$

Cited by in corpus (19)

• The Tadpole Problem
• Landscape of Modular Symmetric Flavor Models
• Searching the Landscape of Flux Vacua with Genetic Algorithms
• F-theory flux vacua at large complex structure
• Moduli Stabilization in Asymptotic Flux Compactifications
• The tadpole conjecture at large complex-structure
• Residual flavor symmetry breaking in the landscape of modular flavor models
• Fluxes, Vacua, and Tadpoles meet Landau-Ginzburg and Fermat
• Dictionary for the type II nongeometric flux compactifications
• Moduli Stabilisation and the Statistics of SUSY Breaking in the Landscape
• Moduli stabilization in type IIB orientifolds at $h^{2,1}=50$
• Rigid nongeometric orientifolds and the swampland
• $T$-dualizing the de-Sitter no-go scenarios
• Moduli stabilization with non-geometric fluxes -- comments on tadpole contributions and de-Sitter vacua
• On the Search for Low $W_0$
• Flavor, CP and Metaplectic Modular Symmetries in Type IIB Chiral Flux Vacua
• Joint Statistics of Cosmological Constant and SUSY Breaking in Flux Vacua with Nilpotent Goldstino
• Flux vacua in type IIB compactifications on orbifolds: their finiteness and minimal string coupling
• The Tadpole Conjecture in Asymptotic Limits