Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications

Abstract

We study the large volume limit of the scalar potential in Calabi-Yau flux compactifications of type IIB string theory. Under general circumstances there exists a limit in which the potential approaches zero from below, with an associated non-supersymmetric AdS minimum at exponentially large volume. Both this and its de Sitter uplift are tachyon-free, thereby fixing all Kahler and complex structure moduli, which has been difficult to achieve in the KKLT scenario. Also, for the class of vacua described in this paper, the gravitino mass is independent of the flux discretuum, whereas the ratio of the string scale to the 4d Planck scale is hierarchically small but flux dependent. The inclusion of alpha' corrections plays a crucial role in the structure of the potential. We illustrate these ideas through explicit computations for a particular Calabi-Yau manifold.

23 pages, LaTeX, 1 eps figure; v2: typos, references, minor rewordings

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• Loop corrections to Delta N_eff in large volume models
• Bulk Higgs and Gauge fields in a multiply warped braneworld model
• Warping and F-term uplifting
• De Sitter Uplift with Dynamical Susy Breaking
• Bubble of nothing decays of unstable theories
• Supersymmetry Breaking and the Cosmological Constant
• Perturbative Stability along the Supersymmetric Directions of the Landscape
• Gravitational Waves from Axion Monodromy
• Confronting Kähler moduli inflation with CMB data
• O'KKLT at Finite Temperature
• The cosmological moduli problem and naturalness
• Quantum gravity constraints on scale separation and de Sitter in five dimensions
• Flux Vacua Attractors and Generalized Compactifications
• ${\alpha }^{\prime }$ corrections to KPV: An uplifting story
• On Non-Gaussianities in Two-Field Poly-Instanton Inflation
• Warped Ricci-flat reductions
• Towards Constraining Affleck-Dine Baryogenesis
• de Sitter Decays to Infinity
• Winding Uplifts and the Challenges of Weak and Strong SUSY Breaking in AdS
• Sharpening the Boundaries Between Flux Landscape and Swampland by Tadpole Charge
• Uplifting Anti-D6-brane
• The NMSSM with F-theory unified boundary conditions
• Towards a Dark Sector Model from String Theory
• Entanglement entropy and Page curve from the $\mathcal{M}$-theory dual of thermal QCD above $T_c$ at intermediate coupling
• The Spectra of Type IIB Flux Compactifications at Large Complex Structure
• The Supermembrane with Central Charges on a G2 Manifold
• Challenging the Stability of Light Millicharged Dark Matter
• Gopakumar-Vafa Hierarchies in Winding Inflation and Uplifts
• A symplectic rearrangement of the four dimensional non-geometric scalar potential
• Deforming, revolving and resolving - New paths in the string theory landscape
• A $U(1{)}_R$ inspired inflation model in no-scale Supergravity
• On the Effective Description of Large Volume Compactifications
• Reading off the non-geometric scalar potentials via topological data of the Calabi Yau manifolds
• Anomaly Nucleation Constrains SU(2) Gauge Theories
• Compact G2 holonomy spaces from SU(3) structures
• Lifetime of Stringy de Sitter Vacua
• D7-Brane Moduli vs. F-Theory Cycles in Elliptically Fibred Threefolds
• D-brane Disformal Coupling and Thermal Dark Matter
• Bulk scalar field in warped extra dimensional models
• Swiss Cheese D3-D7 Soft SUSY Breaking
• Accidental Inflation from Kähler Uplifting
• Chasing cosmic inflation: constraints for inflationary models and reheating insights
• Moduli-Induced Vacuum Destabilisation
• Fibre inflation and precision CMB data
• The Axiverse induced Dark Radiation Problem
• ALP Conversion and the Soft X-ray Excess in the Outskirts of the Coma Cluster
• Towards a complete mass spectrum of type-IIB flux vacua at large complex structure
• A no-go for no-go theorems prohibiting cosmic acceleration in extra dimensional models
• Classical de Sitter solutions in three dimensions without tachyons?
• Challenges for D-brane large-field inflation with stabilizer fields
• Holographic Perspectives On Models Of Moduli Stabilization In M-Theory
• Cosmological moduli problem in large volume scenario and thermal inflation
• Linking Light Scalar Modes with A Small Positive Cosmological Constant in String Theory
• The 3.5 keV Line from Stringy Axions
• Systematics of perturbatively flat flux vacua
• Conifold dynamics and axion monodromies
• New Large Volume Solutions
• Axion inflation with cross-correlated axion isocurvature perturbations
• Flux-induced Soft Terms on Type IIB/F-theory Matter Curves and Hypercharge Dependent Scalar Masses
• On ${\alpha }^{\prime }$-effects from $D$-branes in $4d\mathcal{N}=1$
• Harmonic Hybrid Inflation
• Ultraviolet Completions of Axigluon Models and Their Phenomenological Consequences
• Universal Class of Type-IIB Flux Vacua with Analytic Mass Spectrum
• Radiative natural supersymmetry emergent from the string landscape
• On K3-fibred LARGE Volume Scenario with de Sitter vacua from anti-D3-branes
• Quantum Corrections to Heterotic Moduli Potentials
• On string one-loop correction to the Einstein-Hilbert term and its implications on the Kahler potential
• Higher Derivative Corrections to String Inflation
• Asymptotic states of the bounce geometry
• An Effect of ${\alpha }^{\prime }$ Corrections on Racetrack Inflation
• de Sitter vacua from an anomalous gauge symmetry
• SUSY's Ladder: Reframing Sequestering at Large Volume
• D-instanton, threshold corrections, and topological string
• Type IIB Flux Vacua from M-theory via F-theory
• On Open Membranes, Cosmic Strings and Moduli Stabilization
• Chiral global embedding of Fibre Inflation with $\overline{D3}$ uplift
• KKLT without AdS
• Isotropic cosmic birefringence from string axion domain walls without cosmic strings, and DESI results
• On stable type IIA de-Sitter vacua with geometric flux
• Systematics of Moduli Stabilization, Inflationary Dynamics and Power Spectrum
• Completing the D7-brane local gaugino action
• On the Search for Low $W_0$
• Inflation in uplifted Supergravities
• Analytics of type IIB flux vacua and their mass spectra
• Inflating in perturbative LVS: Global Embedding and Robustness
• (In)stability of de Sitter vacuum in light of distance conjecture and emergence proposal
• Dark matter and dark radiation from the early universe with a modulus coupled to the PQMSSM
• Classifying divisor topologies for string phenomenology
• Gravitino Problem in Inflation Driven by Inflaton-Polonyi Kähler Coupling
• Gauge Threshold Corrections for N = 2 Heterotic Local Models with Flux, and Mock Modular Forms
• A Solution to the de Sitter Swampland Conjecture versus Inflation Tension via Supergravity
• Dynamical SUSY Breaking in Intersecting Brane Models
• Kalb-Ramond backgrounds in ${\alpha }^{\prime }$-complete cosmology
• Cosmic (super)strings with a time-varying tension
• Back to the origins of brane-antibrane inflation
• Fully stabilized Minkowski vacua in the $2^6$ Landau-Ginzburg model
• Swampland de Sitter Conjectures in No-Scale Supergravity Models
• Seeking de-Sitter Vacua in the String Landscape
• Constraints on LVS Compactifications of IIB String Theory
• Mirage Models Confront the LHC: II. Flux-Stabilized Type IIB String Theory
• Bipartite field theories and D-brane instantons
• Compact objects and the swampland
• Flux Attractors and Generating Functions
• Radiative Kähler moduli stabilization
• On NS5-brane instantons and volume stabilization
• Restrictions on infinite sequences of type IIB vacua
• Cosmic Super-Strings and Kaluza-Klein Modes
• Anomalous U(1) Mediation in Large Volume Compactification
• On 'Light' Fermions and Proton Stability in 'Big Divisor' D3/D7 Swiss Cheese Phenomenology
• A Fake Instability in String Inflation
• Expanding Universe and Dynamical Compactification Using Yang-Mills Instantons
• Soft SUSY Breaking Parameters and RG Running of Squark and Slepton Masses in Large Volume Swiss Cheese Compactifications
• Supersymmetry With Prejudice: Fitting the Wrong Model to LHC Data
• Axionic Festina Lente
• The shadow of dark matter as a shadow of string theory
• Constraints on Cosmic Super-Strings from Kaluza-Klein Emission
• Single field slow-roll effective potential from Kähler moduli stabilizations in type IIB/F-theory
• Landscape Higgs and sparticle mass predictions from a logarithmic soft term distribution
• Radiative Fermion Masses in Local D-Brane Models
• Axion Stabilization in Type IIB Flux Compactifications
• Supergravity and Superstring Signatures of the One-Parameter Model at LHC
• Moduli destabilization via gravitational collapse
• On Missing Bianchi Identities in Cohomology Formulation
• No-scale hybrid inflation with R-symmetry breaking
• Small field axion inflation with sub-Planckian decay constant
• (N)LSP Decays and Gravitino Dark Matter Relic Abundance in Big Divisor (nearly) SLagy D3/D7 mu-Split SUSY
• Warming up the Fibres
• Tensor modes on the string theory landscape
• M-theory Compactifications to Three Dimensions with M2-brane Potentials
• The Gravitino Swampland Conjecture
• On finiteness of Type IIB compactifications: Magnetized branes on elliptic Calabi-Yau threefolds
• Impacts of non-geometric moduli on effective theory of 5D supergravity
• Neutrino Masses, Baryon Asymmetry, Dark Matter and the Moduli Problem : A Complete Framework
• A new class of de Sitter vacua in String Theory Compactifications
• Testing the gaugino AMSB model at the Tevatron via slepton pair production
• Mass Production of Type IIA dS Vacua
• The String Origin of SUSY Flavor Violation
• Cosmic eggs to relax the cosmological constant
• Purely non-perturbative AdS vacua and the swampland
• Aligned Natural Inflation in the Large Volume Scenario
• Systematics of perturbatively flat flux vacua for CICYs
• Cosmological relaxation and high scale inflation
• Asymptotic bound on slow-roll parameter in stringy quintessence model
• Evidence for Inflation in an Axion Landscape
• Global Embedding of Fibre Inflation in Perturbative LVS
• A Megaxion at 750 GeV as a First Hint of Low Scale String Theory
• Constraints on Standard Model Constructions in F-theory
• Cosmic superstrings in large volume compactifications: PTAs, LISA and time-varying tension
• Topology from Cosmology
• Revisiting oscillon formation in KKLT scenario
• Interplay between Swampland and Bayesian Machine Learning in constraining cosmological models
• Constraints from F and D supersymmetry breaking in general supergravity theories
• Axion species scale and axion weak gravity conjecture-like bound
• Backreacting D-brane instantons on branes at singularities
• Vacuum fluctuations in an ancestor vacuum: A possible dark energy candidate
• Goldstino condensation at large N
• Mass Production of IIA and IIB dS Vacua
• A Note on $h^{2,1}$ of Divisors of CY Fourfolds I
• Uplift and towers of states in warped throat
• On Stringy de Sitter Spacetimes
• On four-derivative terms in IIB Calabi-Yau orientifold reductions
• Over-extremal brane shells from string theory?
• $R^2$ Dark Energy in the Laboratory
• Barrow holographic dark energy interacting model in the presence of radiation and matter
• Hybrid inflation in high-scale supersymmetry
• SL(2,R) covariant conditions for N=1 flux vacua
• Inflation in string theory confronts data/Les modèles d'inflation en théorie des cordes face aux observations
• Baryogenesis, Dark Matter, and Flavor Structure in Non-thermal Moduli Cosmology
• Dark Matter density and the Higgs mass in LVS String Phenomenology
• Axion-philic cosmological moduli
• SO(10) Grand Unification in M theory on a G2 manifold
• Taxonomy of scalar potential with U-dual fluxes
• Supersymmetry preserving and breaking degenerate vacua, and radiative moduli stabilization
• High Energy Physics and Cosmology at the Unification Frontier: Opportunities and Challenges in the coming years
• A Note on Modulus-dominated SUSY-breaking
• Uncertainty in Electroweak Symmetry Breaking in Models With High Scale Supersymmetry Breaking and its Impact on Interpretations of Searches For Supersymmetric Particles
• Asymptotic behavior of saxion-axion system in stringy quintessence model
• Supersymmetric Dirac-Born-Infeld Axionic Inflation and Non-Gaussianity
• Moduli mediation without moduli-induced gravitino problem
• Non-perturbative scalar potential inspired by type IIA strings on rigid CY
• Light field integration in SUGRA theories
• Deriving the Inflaton in Compactified M-theory with a De Sitter Vacuum
• Non-perturbative stabilization of two Kähler moduli in type-IIB/F theory and the inflaton potential
• Soft Supersymmetry Breaking in Anisotropic LARGE Volume Compactifications
• Flux vacua in type IIB compactifications on orbifolds: their finiteness and minimal string coupling
• Black hole production, eternal inflation, and information in quasi-de Sitter space
• Symplectic formulation of the type IIB scalar potential with U-dual fluxes
• Mediation of Supersymmetry Breaking in a Class of String Theory Models
• Bosonic Fields in Crystal Manyfolds
• Electronic structure and exotic exchange splitting in spin-density-wave states of BaFe${}_2$As${}_2$
• A QCD R-Axion
• Finite Temperature Behaviour of O'KKLT Model
• Quadratic curvature corrections to stringy effective actions and the absence of de Sitter vacua
• Peccei-Quinn invariant singlet extended SUSY with anomalous U(1) gauge symmetry
• Aether SUSY breaking: Can aether be alternative to F-term SUSY breaking?
• Gauge Mediated Supersymmetry Breaking and String Theory
• Joint Statistics of Cosmological Constant and SUSY Breaking in Flux Vacua with Nilpotent Goldstino
• Assisted Fibre Inflation in Perturbative LVS
• Moduli Thermalization and Finite Temperature Effects in "Big" Divisor Large Volume D3/D7 Swiss-Cheese Compactification
• Heterotic Stringy Corrections to Metrics of Toroidal Orbifolds and Their Resolutions
• Hybrid Inflation, Reheating and Dark Radiation in a IIB perturbative moduli stabilization scenario
• Anomalous EDGES 21-cm Signal and Moduli Dominated Era
• The UV Sensitivity of Axion Monodromy Inflation
• Axion decay constants at special points in type II string theory
• Stabilization of a twisted modulus on a mirror of rigid Calabi-Yau manifold
• Dark matter in the KL moduli stabilization scenario with SUSY breaking sector from $\mathcal{N}=1$ SQCD
• Possible origin of CMB temperature fluctuations: Vacuum fluctuations of Kaluza-Klein and string states during inflationary era
• Investigating the Stability of a Nonsupersymmetric Landscape
• Sparticle and Higgs boson masses from the landscape: dynamical versus spontaneous supersymmetry breaking
• Light Moduli in Almost No-Scale Models
• A Comparison of Supersymmetry Breaking and Mediation Mechanisms
• Connecting String/M Theory to the Electroweak Scale and to LHC Data
• Brane/flux annihilation in double-throat system
• Bounds on complex structure moduli values for perturbative control
• Supersymmetric Horizons at the Edge of Effective Field Theory
• Effect of Moduli Redefinitions on Fibre Inflation
• A Computational Companion to Transient de Sitter and Quasi de Sitter States in SO(32) and E_8 X E_8 Heterotic String Theories I: Formalisms
• On SUSY-breaking Moduli Spaces of AdS${}_7$ Vacua and 6D SCFTs
• A domain wall bound on anti-de Sitter vacua
• Axions at the meV Crossroads: Theory, Cosmology, Astrophysics, and Experiments
• Particle physics and cosmology intertwined
• (P)reheating Effects of the Kähler Moduli Inflation I Model
• Observational signatures of dark energy produced in an ancestor vacuum: Forecast for galaxy surveys
• Modified hybrid inflation in no-scale SUGRA with suppressed $R$-symmetry breaking
• Reading-off the non-geometric scalar potentials with U-dual fluxes
• Deciphering the MSSM Higgs Mass at Future Hadron Colliders
• Preferred hierarchy scales from the product landscape
• Stringy constraints on primordial electromagnetic fields in axion inflation
• Instanton induced Yukawa couplings from distant E3 and E(-1) instantons
• Supertrace formulae for nonlinearly realized supersymmetry
• F-term Moduli Stabilization and Uplifting
• Modulus D-term Inflation
• On D-brane dynamics and moduli stabilization
• Gravitational Waves and Primordial Black Holes produced by Dark Meta Stable Vacuum Decay
• A Database of Calabi-Yau Orientifolds and the Size of D3-Tadpoles
• $SO(10)$ Grand Unification from $M$ theory on a $G_2$ manifold
• Divisor topologies of CICY 3-folds and their applications to phenomenology
• The Octagon at large M
• Systematic exploration of the non-geometric flux landscape
• String loop origin for dark radiation and superheavy dark matter in type IIB compactifications
• Positivity vs. Lorentz-violation: an explicit example
• No-scale gauge non-singlet inflation inducing TeV scale inverse seesaw mechanism
• Light and compressed gluinos at the LHC via string theory