Runaway in the Landscape

Abstract

We consider flux compactifications of type IIB string theory on the mirror of a rigid Calabi-Yau. In special cases, these models are dual to the type IIA flux vacua with runaway direction in flux space. We show that new weak coupling AdS solutions can be found for large complex structure, while Minkowski solutions with all moduli stabilized are confined to be at strong coupling. The existence of these solutions, as found in a previous work, is nevertheless guaranteed by a non-renormalization theorem of the type IIB flux superpotential. Based on our results, we are led to the conjecture that supersymmetric runaway directions in flux space are always accompanied by a spectrum of moduli masses reaching down to the AdS scale. This could be violated in a non-supersymmetric situation.

26 pages

References in corpus (31)

• de Sitter Vacua in String Theory
• Hierarchies from Fluxes in String Compactifications
• On the Geometry of the String Landscape and the Swampland
• Flux Compactification
• Fivebranes, Membranes and Non-Perturbative String Theory
• Flux compactifications in string theory: a comprehensive review
• Supersymmetry Breaking and alpha'-Corrections to Flux Induced Potentials
• Superstrings and Topological Strings at Large N
• The String Landscape and the Swampland
• Effects of D-instantons
• A Perturbative Window into Non-Perturbative Physics
• RR Flux on Calabi-Yau and Partial Supersymmetry Breaking
• Brane/Flux Annihilation and the String Dual of a Non-Supersymmetric Field Theory
• Type IIA Moduli Stabilization
• Nonlinear Instantons from Supersymmetric p-Branes
• Notes on Superconformal Chern-Simons-Matter Theories
• The effective action of Type IIA Calabi-Yau orientifolds
• Superconformal Chern-Simons Theories
• Spontaneous Breaking of N=2 Global Supersymmetry
• Geometrically Induced Metastability and Holography
• Moduli Stabilization in Non-Geometric Backgrounds
• Differential Equations for Periods and Flat Coordinates in Two Dimensionsional Topological Matter Theories
• The effective action of type II Calabi-Yau orientifolds
• Type IIB $R^4{H}^{4g-4}$ Conjectures
• Generalized Calabi-Yau Manifolds and the Mirror of a Rigid Manifold
• Nonrenormalization of Flux Superpotentials in String Theory
• Phase Structure of a Brane/Anti-Brane System at Large N
• Massive IIA flux compactifications and U-dualities
• A Finite Landscape?
• On de Sitter Vacua in Type IIA Orientifold Compactifications
• Issues in Type IIA Uplifting

Cited by in corpus (10)

• Nonlinear N=2 Supersymmetry, Effective Actions and Moduli Stabilization
• Fluxes, Vacua, and Tadpoles meet Landau-Ginzburg and Fermat
• On Asymptotic Dark Energy in String Theory
• Sharpening the Boundaries Between Flux Landscape and Swampland by Tadpole Charge
• 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
• Metastable Flux Configurations and de Sitter Spaces
• Orientifolds and D-branes in N=2 gauged linear sigma models
• Stabilization of a twisted modulus on a mirror of rigid Calabi-Yau manifold