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

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arxiv 2204.06009 v3 pith:NHKBPMJ4 submitted 2022-04-12 hep-th

Xin Gao , Arthur Hebecker , Simon Schreyer , Victoria Venken This is my paper
classification hep-th
keywords correctionsloopeffectskahlercalabi-yauconjecturecrucialinteresting
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 11 Pith papers

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