RG-Induced Modulus Stabilization: Perturbative de Sitter Vacua and Improved $D3$-$\overline{D3}$ Inflation

Abstract

We propose a new mechanism that adapts to string theory a perturbative method for stabilizing moduli without leaving the domain of perturbative control, thereby evading the `Dine-Seiberg' problem. The only required nonperturbative information comes from the standard renormalization-group resummation of leading logarithms that allow us simultaneously to work to a fixed order in the perturbative parameter $\alpha$ and to all orders in $\alpha \ln \tau$ where $\tau$ is a large extra-dimensional modulus. The resulting potential is naturally minimized for moduli of order $\tau \sim e^{1/\alpha }$ and so can be exponentially large given $\mathcal{O}(10)$ input parameters. The mechanism relies on accidental low-energy scaling symmetries known to be generic and so is robust against UV details. The resulting compactifications generically break supersymmetry and 4D de Sitter solutions are relatively easy to achieve without additional uplifting. Variations on the theme lead to inflationary scenarios for which the size of the stabilized moduli differ significantly before and after inflation and so provide a dynamical mechanism whereby inflationary scales are much larger than late-time physical ($e.g.$~supersymmetry breaking) scales, with this hierarchy contingent on past cosmic evolution with the inflaton playing a secondary late-time role as a relaxation field. We apply this formalism to warped $D3$-$\overline{D3}$ inflation using non-linearly realized supersymmetry to describe the antibrane tension and the Coulomb interaction, and show how doing so our perturbative modulus stabilization mechanism evades the $\eta$-problem that usually plagues this scenario. We speculate about the relevance of our formalism to tachyon condensation at later stages of brane-antibrane annihilation.

47 pages, 4 figures

References in corpus (27)

• Monodromy in the CMB: Gravity Waves and String Inflation
• The Swampland: Introduction and Review
• Flux Compactification
• The String Landscape and the Swampland
• Lectures on the Swampland Program in String Compactifications
• From Linear SUSY to Constrained Superfields
• Cosmology with Nilpotent Superfields
• The Minimal Volkov - Akulov - Starobinsky Supergravity
• SUSY Breaking in Local String/F-Theory Models
• Volume Modulus Inflation and the Gravitino Mass Problem
• Emergence of Spontaneously Broken Supersymmetry on an Anti-D3-Brane in KKLT dS Vacua
• Towards Realistic String Vacua From Branes At Singularities
• Warped Supersymmetry Breaking
• Quantum Corrections in 4d N=1 Infinite Distance Limits and the Weak Gravity Conjecture
• Small Cosmological Constants in String Theory
• Prospects of inflation in delicate D-brane cosmology
• Scaling Solutions to 6D Gauged Chiral Supergravity
• Anti-D3 branes and moduli in non-linear supergravity
• On de Sitter String Vacua from Anti-D3-Branes in the Large Volume Scenario
• LVS de Sitter Vacua are probably in the Swampland
• On M-theory fourfold vacua with higher curvature terms
• Systematics of the ${\alpha }^{\prime }$ Expansion in F-Theory
• Yoga Dark Energy: Natural Relaxation and Other Dark Implications of a Supersymmetric Gravity Sector
• Axion Homeopathy: Screening Dilaton Interactions
• Cosmological Trans-Planckian Conjectures are not Effective
• ${\alpha }^{\prime }$-Corrections and de Sitter Vacua - a Mirage?
• Confinement and Non-perturbative Tachyons in Brane-Antibrane Systems

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• Asymptotic Accelerated Expansion in String Theory and the Swampland
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• (Super)Universal Attractors and the de Sitter Vacua in String Landscape
• Cosmic superstrings in large volume compactifications: PTAs, LISA and time-varying tension
• Stringy multifield quintessence and the Swampland