Stabilizing massless fields with fluxes in Landau-Ginzburg models

Abstract

Recent work on flux compactifications suggests that the tadpole constraint generically allows only a limited number of complex structure moduli to become massive, i.e., be stabilized at quadratic order in the spacetime superpotential. We study the effects of higher-order terms systematically around the Fermat point in the $1^9$ Landau-Ginzburg model. This model lives at strong coupling and features no Kähler moduli. We show that, depending on the flux, several massless fields can indeed be stabilized in this fashion, and argue that this paves the way to explicit $\mathcal{N}=1$ Minkowski vacua without flat directions. Along the way, we complete the classification of integral flux vectors with small tadpole contribution. Thereby we are closing in on a future complete understanding of all possible flux configurations in the $1^9$ Landau-Ginzburg model.

arXiv comment41 pages, 2 figures; v2: corrected factor of 2 with respect to tadpole conjecture

References in corpus (23)

• de Sitter Vacua in String Theory
• Hierarchies from Fluxes in String Compactifications
• CFT's From Calabi-Yau Four-folds
• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux Compactification
• Flux compactifications in string theory: a comprehensive review
• Distributions of flux vacua
• The effective action of N=1 Calabi-Yau orientifolds
• Building a Better Racetrack
• The effective action of Type IIA Calabi-Yau orientifolds
• D-branes on the Quintic
• Flux Compactifications on Calabi-Yau Threefolds
• Moduli Stabilization in Non-Geometric Backgrounds
• F-theory flux vacua at large complex structure
• $G_4$ Flux, Algebraic Cycles and Complex Structure Moduli Stabilization
• Fluxes, Vacua, and Tadpoles meet Landau-Ginzburg and Fermat
• On Asymptotic Dark Energy in String Theory
• D(-1)-Instanton Superpotential In String Theory
• Runaway in the Landscape
• Moduli stabilization in type IIB orientifolds at $h^{2,1}=50$
• Sharpening the Boundaries Between Flux Landscape and Swampland by Tadpole Charge
• D-brane Categories for Orientifolds -- The Landau-Ginzburg Case
• Metastable Flux Configurations and de Sitter Spaces

Cited by in corpus (5)

• Fully stabilized Minkowski vacua in the $2^6$ Landau-Ginzburg model
• Tadpole conjecture in non-geometric backgrounds
• 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
• Time Dependent String Compactification: Towards Bouncing Cosmology