Topological Constraints in the LARGE-Volume Scenario

Abstract

We elaborate on recent results regarding the self-consistency of de Sitter vacua in the LARGE-volume scenario of type IIB string theory. In particular, we analyze to what extent the control over warping, curvature and $g_s$ corrections depends on the topology and the orientifold/brane data of a compactification. We compute a general bound on the magnitude of these corrections which strongly constrains the D3 tadpole. The minimally required tadpole ranges from $\mathcal{O}(500)$ to $\mathcal{O}(10^6)$ or more and depends strongly on other data, in particular on the Euler number of the Calabi-Yau 3-fold, the triple-self-intersection and Euler numbers of the small divisor and the coefficient $a_s$ appearing in the non-perturbative superpotential. We give arguments suggesting that satisfying these constraints is very challenging and perhaps impossible.

arXiv comment33 pages. v2: comments and references added. v3: comments and references added

References in corpus (45)

• de Sitter Vacua in String Theory
• Hierarchies from Fluxes in String Compactifications
• Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities
• Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications
• Supersymmetry Breaking and alpha'-Corrections to Flux Induced Potentials
• Large-Volume Flux Compactifications: Moduli Spectrum and D3/D7 Soft Supersymmetry Breaking
• De Sitter Space and the Swampland
• What if string theory has no de Sitter vacua?
• String Loop Corrections to Kahler Potentials in Orientifolds
• Dynamics of warped compactifications and the shape of the warped landscape
• Curvature terms in D-brane actions and their M-theory origin
• 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
• Remarks on the Warped Deformed Conifold
• Vacua with Small Flux Superpotential
• A Calabi-Yau Database: Threefolds Constructed from the Kreuzer-Skarke List
• Building an explicit de Sitter
• Uplifting Runaways
• Toric Geometry and Enhanced Gauge Symmetry of F-Theory/Heterotic Vacua
• The Tadpole Problem
• Moduli Stabilisation for Chiral Global Models
• Kinetic terms in warped compactifications
• Quantum Corrections in 4d N=1 Infinite Distance Limits and the Weak Gravity Conjecture
• Swampland Variations on a Theme by KKLT
• Control issues of KKLT
• Gaugino condensation and small uplifts in KKLT
• F-theory at order ${\alpha }^{\prime 3}$
• D7-Brane Motion from M-Theory Cycles and Obstructions in the Weak Coupling Limit
• Warping and Supersymmetry Breaking
• Moduli Redefinitions and Moduli Stabilisation
• A Note on the Magnitude of the Flux Superpotential
• Logarithmic loop corrections, moduli stabilisation and de Sitter vacua in string theory
• Gauge Threshold Corrections for Local String Models
• The LVS Parametric Tadpole Constraint
• On de Sitter String Vacua from Anti-D3-Branes in the Large Volume Scenario
• Gauge Threshold Corrections for Local Orientifolds
• LVS de Sitter Vacua are probably in the Swampland
• Landau-Ginzburg Vacua of String, M- and F-Theory at c=12
• Loops, Local Corrections and Warping in the LVS and other Type IIB Models
• A landscape of orientifold vacua
• Orientifold Calabi-Yau Threefolds with Divisor Involutions and String Landscape
• Chern class identities from tadpole matching in type IIB and F-theory
• One-modulus Calabi-Yau fourfold reductions with higher-derivative terms
• On ${\alpha }^{\prime }$-effects from $D$-branes in $4d\mathcal{N}=1$

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• Curvature corrections to KPV: Do we need deep throats?
• Moduli stabilization in type IIB orientifolds at $h^{2,1}=50$
• Mass Hierarchies and Quantum Gravity Constraints in DKMM-refined KKLT
• Quantum gravity constraints on scale separation and de Sitter in five dimensions
• ${\alpha }^{\prime }$ corrections to KPV: An uplifting story
• On K3-fibred LARGE Volume Scenario with de Sitter vacua from anti-D3-branes
• Back to the origins of brane-antibrane inflation
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme