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 α′ 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.

Curvature corrections to KPV: Do we need deep throats?

“…Note that after S-duality this leading order term should contribute to the (unknown) g 2 s suppressed, 2-loop term for the D5-brane. Such a term is indeed expected to arise for gravitons from field theory loops in an effective field theory on the D5-brane worldvolume [20], analogously to how we also expected such g 2 s suppressed corrections to arise on the NS5-brane worldvolume. This provides a further argument that such a leading order in g s curvature term on the NS5-brane should exist.…”

“…We see that these curvature corrections are g 2 s suppressed compared to the leading-order DBI action, while the D-brane curvature terms were leading order in g s . One expects such g 2 s corrections for gravitons from loop corrections in the worldvolume field theory on the NS5brane [20]. By contrast, the curvature corrections on the D5-brane arise at the disk level and are enhanced by a factor 1/g s compared to 1-loop expectations.…”

Mass Hierarchies and Quantum Gravity Constraints in DKMM‐refined KKLT

“…Putting all evidence together, we would like to interprete these results as an indication that after all, the DKMMrefined KKLT construction might turn out to be inconsistent with quantum gravity, hence in the swampland. We note that a recent analysis [52][53][54] of the regions of control in the context of the Large Volume Scenario arrived at a very similar conclusion.…”

Quadratic curvature corrections to stringy effective actions and the absence of de Sitter vacua

“…Recently, an important advancement was made to better understand the origin of loop corrections in generic Calabi-Yaus [243]. These results differ from those of [240] in the relative scaling of the winding and KK modes with the string coupling g s .…”