Loops, Local Corrections and Warping in the LVS and other Type IIB Models

Abstract

To establish metastable de Sitter vacua or even just scale-separated AdS, control over perturbative corrections to the string-derived leading-order 4d lagrangian is crucial. Such corrections can be classified in three types: First, there are genuine loop effects, insensitive to the UV completion of the 10d theory. Second, there are local ${\alpha }^{\prime }$ corrections or, equivalently, 10d higher-dimension operators which may or may not be related to loop-effects. Third, warping corrections affect the 4d Kahler potential but are expected not to violate the 4d no-scale structure. With this classification in mind, we attempt to derive the Berg-Haack-Pajer conjecture for Kahler corrections in type-IIB Calabi-Yau orientifolds and extend it to include further terms. This is crucial since the interesting applications of this conjecture are in the context of generic Calabi-Yau geometries rather than in the torus-based models from which the main motivation originally stems. As an important by-product, we resolve a known apparent inconsistency between the parametric behaviour of string loop results and field-theoretic expectations. Our findings lead to some interesting new statements concerning loop effects associated with blowup-cycles, loop corrections in fibre inflation, and possible logarithmic effects in the Kahler and scalar potential.

arXiv comment52 pages, 5 figures v2: minor corrections, v3: version accepted for publication on JHEP

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Cited by in corpus (18)

• The LVS Parametric Tadpole Constraint
• Topological Constraints in the LARGE-Volume Scenario
• Curvature corrections to KPV: Do we need deep throats?
• Mass Hierarchies and Quantum Gravity Constraints in DKMM-refined KKLT
• ${\alpha }^{\prime }$ corrections to KPV: An uplifting story
• On string one-loop correction to the Einstein-Hilbert term and its implications on the Kahler potential
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• Back to the origins of brane-antibrane inflation
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• Supersymmetric Horizons at the Edge of Effective Field Theory
• Effect of Moduli Redefinitions on Fibre Inflation