Consistency conditions for O-plane unsmearing from second-order perturbation theory

Abstract Scale-separated AdS compactifications of string theory can be constructed at the two-derivative supergravity level in the presence of smeared orientifold planes. The unsmearing corrections are known to leading order in the large volume, weak coupling limit. However, first-order perturbative...

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Main Author: Maxim Emelin
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP12(2024)025
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author Maxim Emelin
author_facet Maxim Emelin
author_sort Maxim Emelin
collection DOAJ
description Abstract Scale-separated AdS compactifications of string theory can be constructed at the two-derivative supergravity level in the presence of smeared orientifold planes. The unsmearing corrections are known to leading order in the large volume, weak coupling limit. However, first-order perturbative approximations of non-linear problems can often produce spurious solutions, which are only weeded out by additional consistency conditions imposed at higher orders. In this work, we revisit the unsmearing procedure and present consistency conditions obtained from the second order warp factor and dilaton equations. This requires proper treatment of the near-source singularities. The resulting conditions appear as integral constraints on various non-linear combinations of the first order corrections, which we argue can generally be satisfied by appropriate choice of integration constants of the leading-order solutions. This provides a non-trivial consistency check for the perturbative unsmearing procedure and supports the existence of scale-separated AdS vacua in string theory.
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spelling doaj-art-b4c4a3ae945a49678f8afba5d9cabe6f2025-08-20T02:39:55ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241212010.1007/JHEP12(2024)025Consistency conditions for O-plane unsmearing from second-order perturbation theoryMaxim Emelin0Dipartimento di Fisica e Astronomia “Galileo Galilei”, Università di PadovaAbstract Scale-separated AdS compactifications of string theory can be constructed at the two-derivative supergravity level in the presence of smeared orientifold planes. The unsmearing corrections are known to leading order in the large volume, weak coupling limit. However, first-order perturbative approximations of non-linear problems can often produce spurious solutions, which are only weeded out by additional consistency conditions imposed at higher orders. In this work, we revisit the unsmearing procedure and present consistency conditions obtained from the second order warp factor and dilaton equations. This requires proper treatment of the near-source singularities. The resulting conditions appear as integral constraints on various non-linear combinations of the first order corrections, which we argue can generally be satisfied by appropriate choice of integration constants of the leading-order solutions. This provides a non-trivial consistency check for the perturbative unsmearing procedure and supports the existence of scale-separated AdS vacua in string theory.https://doi.org/10.1007/JHEP12(2024)025Flux CompactificationsSuperstring VacuaString and Brane Phenomenology
spellingShingle Maxim Emelin
Consistency conditions for O-plane unsmearing from second-order perturbation theory
Journal of High Energy Physics
Flux Compactifications
Superstring Vacua
String and Brane Phenomenology
title Consistency conditions for O-plane unsmearing from second-order perturbation theory
title_full Consistency conditions for O-plane unsmearing from second-order perturbation theory
title_fullStr Consistency conditions for O-plane unsmearing from second-order perturbation theory
title_full_unstemmed Consistency conditions for O-plane unsmearing from second-order perturbation theory
title_short Consistency conditions for O-plane unsmearing from second-order perturbation theory
title_sort consistency conditions for o plane unsmearing from second order perturbation theory
topic Flux Compactifications
Superstring Vacua
String and Brane Phenomenology
url https://doi.org/10.1007/JHEP12(2024)025
work_keys_str_mv AT maximemelin consistencyconditionsforoplaneunsmearingfromsecondorderperturbationtheory