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

TL;DR

This paper analyzes perturbative corrections in type IIB string models, classifies their types, and extends the Berg-Haack-Pajer conjecture to more general Calabi-Yau geometries, resolving inconsistencies and revealing new effects.

Contribution

It extends the Berg-Haack-Pajer conjecture for Kahler corrections to generic Calabi-Yau orientifolds and clarifies the behavior of loop effects in these models.

Findings

Resolved inconsistency between string loop results and field theory expectations.

Identified new effects in loop corrections for blowup-cycles and fibre inflation.

Suggested possible logarithmic effects in Kahler and scalar potentials.

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 $\alpha'$ 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.