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.

33 pages. v2: comments and references added. v3: comments and references added

References in corpus (13)

• 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
• A Calabi-Yau Database: Threefolds Constructed from the Kreuzer-Skarke List
• Quantum Corrections in 4d N=1 Infinite Distance Limits and the Weak Gravity Conjecture
• Swampland Variations on a Theme by KKLT
• D7-Brane Motion from M-Theory Cycles and Obstructions in the Weak Coupling Limit
• Warping and Supersymmetry Breaking
• Gauge Threshold Corrections for Local String Models
• On de Sitter String Vacua from Anti-D3-Branes in the Large Volume Scenario
• Gauge Threshold Corrections for Local Orientifolds
• A landscape of orientifold vacua
• Loops, Local Corrections and Warping in the LVS and other Type IIB Models

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• Mass Hierarchies and Quantum Gravity Constraints in DKMM-refined KKLT
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• ${\alpha }^{\prime }$ corrections to KPV: An uplifting story
• On K3-fibred LARGE Volume Scenario with de Sitter vacua from anti-D3-branes
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• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme