The LVS Parametric Tadpole Constraint
arXiv:2202.04087 · doi:10.1007/JHEP07(2022)056
Abstract
The large volume scenario (LVS) for de Sitter compactifications of the type IIB string is, at least in principle, well protected from various unknown corrections. The reason is that, by construction, the Calabi-Yau volume is exponentially large. However, as has recently been emphasised, in practice the most explicit models are rather on the border of parametric control. We identify and quantify parametrically what we believe to be the main issue behind this difficulty. Namely, a large volume implies a shallow AdS minimum and hence a small uplift. The latter, if it relies on an anti-D3 in a throat, requires a large negative tadpole. As our main result, we provide a simple and explicit formula for what this tadpole has to be in order to control the most dangerous corrections. The fundamental ingredients are parameters specifying the desired quality of control. We comment on the interplay between our constraint and the tadpole conjecture. We also discuss directions for future work which could lead to LVS constructions satisfying the tadpole constraint with better control, as well as further challenges that may exist for the LVS. Our formula then represents a very concrete challenge for future searches for and the understanding of relevant geometries.
20 pages, 1 figure v2: minor improvements, references added and new appendix on more precise warp factor added, v3: improvement of the W_0 bound, references added, v4: minor typos corrected
References in corpus (35)
- Lectures on F-theory compactifications and model building
- Les Houches Lectures on Constructing String Vacua
- Gaugino Condensates and D-terms from D7-branes
- Moduli Stabilisation versus Chirality for MSSM like Type IIB Orientifolds
- Jumping Through Loops: On Soft Terms from Large Volume Compactifications
- D-brane Deconstructions in IIB Orientifolds
- Systematics of String Loop Corrections in Type IIB Calabi-Yau Flux Compactifications
- deSitter vacua from uplifting D-terms in effective supergravities from realistic strings
- The Tadpole Problem
- Small Cosmological Constants in String Theory
- Swampland Variations on a Theme by KKLT
- Control issues of KKLT
- Fibrations in CICY Threefolds
- D7-Brane Motion from M-Theory Cycles and Obstructions in the Weak Coupling Limit
- Warping and Supersymmetry Breaking
- Understanding KKLT from a 10d perspective
- UV Shadows in EFTs: Accidental Symmetries, Robustness and No-Scale Supergravity
- On de Sitter String Vacua from Anti-D3-Branes in the Large Volume Scenario
- Fixing D7 Brane Positions by F-Theory Fluxes
- Gauge Threshold Corrections for Local Orientifolds
- LVS de Sitter Vacua are probably in the Swampland
- The tadpole conjecture at large complex-structure
- Systematics of the Expansion in F-Theory
- Loops, Local Corrections and Warping in the LVS and other Type IIB Models
- A landscape of orientifold vacua
- Fluxbranes: Moduli Stabilisation and Inflation
- Orientifold Calabi-Yau Threefolds with Divisor Involutions and String Landscape
- Resolving spacetime singularities in flux compactifications & KKLT
- Applying machine learning to the Calabi-Yau orientifolds with string vacua
- Winding Uplifts and the Challenges of Weak and Strong SUSY Breaking in AdS
- Gopakumar-Vafa Hierarchies in Winding Inflation and Uplifts
- Conifold dynamics and axion monodromies
- Completing the D7-brane local gaugino action
- D7 Moduli Stabilization: The Tadpole Menace
- Systematics of perturbatively flat flux vacua for CICYs
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- Loops, Local Corrections and Warping in the LVS and other Type IIB Models
- The Dark Dimension in a Warped Throat
- Axions in String Theory Slaying the Hydra of Dark Radiation
- Topological Constraints in the LARGE-Volume Scenario
- On de Sitter Spacetime and String Theory
- Curvature corrections to KPV: Do we need deep throats?
- Moduli stabilization in type IIB orientifolds at
- corrections to KPV: An uplifting story
- On K3-fibred LARGE Volume Scenario with de Sitter vacua from anti-D3-branes
- Chiral global embedding of Fibre Inflation with uplift
- Back to the origins of brane-antibrane inflation
- Classifying divisor topologies for string phenomenology
- Seeking de-Sitter Vacua in the String Landscape
- Global Embedding of Fibre Inflation in Perturbative LVS
- Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
- Joint Statistics of Cosmological Constant and SUSY Breaking in Flux Vacua with Nilpotent Goldstino
- Hybrid Inflation, Reheating and Dark Radiation in a IIB perturbative moduli stabilization scenario
- Symmetry Points of Modular Geometry
- The Tadpole Conjecture in Asymptotic Limits
- Bounds on complex structure moduli values for perturbative control
- A Database of Calabi-Yau Orientifolds and the Size of D3-Tadpoles