Sharpening the Boundaries Between Flux Landscape and Swampland by Tadpole Charge

Abstract

We investigate the vacuum structure of four-dimensional effective theory arising from Type IIB flux compactifications on a mirror of the rigid Calabi-Yau threefold, corresponding to a T-dual of the DeWolfe-Giryavets-Kachru-Taylor model in Type IIA flux compactifications. By analyzing the vacuum structure of this interesting corner of string landscape, it turns out that there exist perturbatively unstable de Sitter (dS) vacua in addition to supersymmetric and non-supersymmetric anti-de Sitter vacua. On the other hand, the stable dS vacua appearing in the low-energy effective action violate the tadpole cancellation condition, indicating a strong correlation between the existence of dS vacua and the flux-induced D3-brane charge (tadpole charge). We also find analytically that the tadpole charge constrained by the tadpole cancellation condition emerges in the scalar potential in a nontrivial way. Thus, the tadpole charge would restrict the existence of stable dS vacua, and this fact underlies the statement of the dS conjecture. Furthermore, our analytical and numerical results exhibit that distributions of $\mathcal{O}(1)$ parameters in expressions of several swampland conjectures peak at specific values.

arXiv comment37 pages, 9 figures, published version (v2)

References in corpus (33)

• de Sitter Vacua in String Theory
• The String Landscape, Black Holes and Gravity as the Weakest Force
• On the Geometry of the String Landscape and the Swampland
• Supergravity description of field theories on curved manifolds and a no go theorem
• Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications
• CFT's From Calabi-Yau Four-folds
• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• The Swampland: Introduction and Review
• Distance and de Sitter Conjectures on the Swampland
• Bounds on Slow Roll and the de Sitter Swampland
• What if string theory has no de Sitter vacua?
• AdS and the Swampland
• Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold
• On the de Sitter swampland criterion
• Inflationary Constraints on Type IIA String Theory
• On Volume Stabilization by Quantum Corrections
• The tension between 10D supergravity and dS uplifts
• Uplifting Runaways
• Moduli Stabilization in Non-Geometric Backgrounds
• Remarks on scale separation in flux vacua
• Swampland Variations on a Theme by KKLT
• Control issues of KKLT
• Generalized Calabi-Yau Manifolds and the Mirror of a Rigid Manifold
• Spontaneous CP violation and symplectic modular symmetry in Calabi-Yau compactifications
• Weakly Coupled de Sitter Vacua with Fluxes and the Swampland
• Quantum Log-Corrections to Swampland Conjectures
• Systematics of Type IIA moduli stabilisation
• Runaway in the Landscape
• Rigid nongeometric orientifolds and the swampland
• Moduli stabilization with non-geometric fluxes -- comments on tadpole contributions and de-Sitter vacua
• Radiative Kähler moduli stabilization
• Hierarchical structure of physical Yukawa couplings from matter field Kähler metric
• Metastable Flux Configurations and de Sitter Spaces

Cited by in corpus (9)

• Scale-separated AdS${}_4$ vacua of IIA orientifolds and M-theory
• Symplectic modular symmetry in heterotic string vacua: flavor, CP, and $R$-symmetries
• Fluxes, Vacua, and Tadpoles meet Landau-Ginzburg and Fermat
• On Asymptotic Dark Energy in String Theory
• Type IIB flux compactifications with $h^{1,1}=0$
• Stabilizing massless fields with fluxes in Landau-Ginzburg models
• Fully stabilized Minkowski vacua in the $2^6$ Landau-Ginzburg model
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Stabilization of a twisted modulus on a mirror of rigid Calabi-Yau manifold