Perturbative Stability along the Supersymmetric Directions of the Landscape

Abstract

We consider the perturbative stability of non-supersymmetric configurations in N=1 supergravity models with a spectator sector not involved in supersymmetry breaking. Motivated by the supergravity description of complex structure moduli in Large Volume Compactifications of type IIB-superstrings, we concentrate on models where the interactions are consistent with the supersymmetric truncation of the spectator fields, and we describe their couplings by a random ensemble of generic supergravity theories. We characterise the mass spectrum of the spectator fields in terms of the statistical parameters of the ensemble and the geometry of the scalar manifold. Our results show that the non-generic couplings between the spectator and the supersymmetry breaking sectors can stabilise all the tachyons which typically appear in the spectator sector before including the supersymmetry breaking effects, and we find large regions of the parameter space where the supersymmetric sector remains stable with probability close to one. We discuss these results about the stability of the supersymmetric sector in two physically relevant situations: non-supersymmetric Minkowski vacua, and slow-roll inflation driven by the supersymmetry breaking sector. For the class of models we consider, we have reproduced the regimes in which the KKLT and Large Volume Scenarios stabilise all supersymmetric moduli. We have also identified a new regime in which the supersymmetric sector is stabilised at a very robust type of dS minimum without invoking a large mass hierarchy.

arXiv comment44+11 pages, 10 figures, references added, minor corrections and clarifications, added comments by the referee

References in corpus (64)

• de Sitter Vacua in String Theory
• Hierarchies from Fluxes in String Compactifications
• Level-Spacing Distributions and the Airy Kernel
• Quantization of Four-form Fluxes and Dynamical Neutralization of the Cosmological Constant
• Shape Fluctuations and Random Matrices
• Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications
• WISPy Cold Dark Matter
• Model-Independent Analysis of Soft Terms in Effective Supergravity and in String Theory
• Distributions of flux vacua
• Large-Volume Flux Compactifications: Moduli Spectrum and D3/D7 Soft Supersymmetry Breaking
• Features of heavy physics in the CMB power spectrum
• Counting Flux Vacua
• Landscape, the Scale of SUSY Breaking, and Inflation
• Stability of flux compactifications and the pattern of supersymmetry breaking
• Kahler Moduli Inflation
• Distributions of nonsupersymmetric flux vacua
• General inflaton potentials in supergravity
• Fayet-Iliopoulos Terms in Supergravity and Cosmology
• de Sitter String Vacua from Kahler Uplifting
• Stringy corrections to Kahler potentials, SUSY breaking, and the cosmological constant problem
• de Sitter vacua in no-scale supergravities and Calabi-Yau string models
• Locally stable non-supersymmetric Minkowski vacua in supergravity
• Constraints on modular inflation in supergravity and string theory
• A sufficient condition for de Sitter vacua in type IIB string theory
• On the distribution of stable de Sitter vacua
• The Wasteland of Random Supergravities
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Effective Potentials for Light Moduli
• Cosmology From Random Multifield Potentials
• Analytic Classes of Metastable de Sitter Vacua
• Supersymmetry reduction of N-extended supergravities in four dimensions
• Consistent reduction of N=2 -> N=1 four dimensional supergravity coupled to matter
• Localized correlated features in the CMB power spectrum and primordial bispectrum from a transient reduction in the speed of sound
• Constraints for the existence of flat and stable non-supersymmetric vacua in supergravity
• A Note on the Magnitude of the Flux Superpotential
• Supersymmetry and Stability of Flux Vacua
• Charting an Inflationary Landscape with Random Matrix Theory
• Metastable supergravity vacua with F and D supersymmetry breaking
• Heavy Tails in Calabi-Yau Moduli Spaces
• On Integrating Out Heavy Fields in SUSY Theories
• Constructing de Sitter vacua in no-scale string models without uplifting
• Statistics of String vacua
• De Sitter Vacua from Non-perturbative Flux Compactifications
• Supersymmetric Vacua in Random Supergravity
• An Effective Description of the Landscape - I
• Sgoldstino inflation
• Globally and locally supersymmetric effective theories for light fields
• F-term uplifting and moduli stabilization consistent with Kahler invariance
• Accidental Inflation in the Landscape
• F-term uplifting and the supersymmetric integration of heavy moduli
• A Stringy Mechanism for A Small Cosmological Constant
• A Stringy Mechanism for A Small Cosmological Constant - Multi-Moduli Cases -
• Consistent Decoupling of Heavy Scalars and Moduli in N=1 Supergravity
• Preference for a Vanishingly Small Cosmological Constant in Supersymmetric Vacua in a Type IIB String Theory Model
• An Effective Description of the Landscape - II
• Affleck-Dine Baryogenesis in Effective Supergravity
• A geometric bound on F-term inflation
• The Scale of Inflation in the Landscape
• Towards Constraining Affleck-Dine Baryogenesis
• Compactifying de Sitter Naturally Selects a Small Cosmological Constant
• On the Effective Description of Large Volume Compactifications
• Flux Compactifications on $(S_2{)}^N$
• Holomorphic Bisectional Curvatures, Supersymmetry Breaking, and Affleck-Dine Baryogenesis
• Light field integration in SUGRA theories

Cited by in corpus (13)

• The Hyperbolic Geometry of Cosmological Attractors
• $\overline{D3}$ Induced Geometric Inflation
• A New Class of de Sitter Vacua in Type IIB Large Volume Compactifications
• String Theory Realizations of the Nilpotent Goldstino
• Decoupling and de Sitter Vacua in Approximate No-Scale Supergravities
• Inflation with a graceful exit in a random landscape
• Universal Properties of Type IIB and F-theory Flux Compactifications at Large Complex Structure
• The Spectra of Type IIB Flux Compactifications at Large Complex Structure
• Towards a complete mass spectrum of type-IIB flux vacua at large complex structure
• Universal Class of Type-IIB Flux Vacua with Analytic Mass Spectrum
• Analytics of type IIB flux vacua and their mass spectra
• A new class of de Sitter vacua in String Theory Compactifications
• Slepian models for Gaussian Random Landscapes