Flux vacua in type IIB compactifications on orbifolds: their finiteness and minimal string coupling

Abstract We perform a detailed study of (supersymmetric) moduli stabilisation in type IIB toroidal orientifolds with fluxes. We provide strong evidence towards exhaustion of the finite number of inequivalent vacua for a given total 3-form flux charge N flux. We also find that the minimal value of th...

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Main Authors: Ignatios Antoniadis, Anthony Guillen, Osmin Lacombe
Format: Article
Language:English
Published: SpringerOpen 2024-09-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP09(2024)016
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author Ignatios Antoniadis
Anthony Guillen
Osmin Lacombe
author_facet Ignatios Antoniadis
Anthony Guillen
Osmin Lacombe
author_sort Ignatios Antoniadis
collection DOAJ
description Abstract We perform a detailed study of (supersymmetric) moduli stabilisation in type IIB toroidal orientifolds with fluxes. We provide strong evidence towards exhaustion of the finite number of inequivalent vacua for a given total 3-form flux charge N flux. We also find that the minimal value of the string coupling g s is given in terms of N flux and present strong evidence for the asymptotic relation g s, min ∼ c / N flux α $$ c/{N}_{\textrm{flux}}^{\alpha } $$ , with α = 1, 2, valid for not too small N flux, where c is an order 1 coefficient and α depends on the orbifold. Imposing tadpole cancellation, N flux is bounded from the number of orientifold O3-planes. Combined with the flux quantisation, this forbids orientifold vacua without anti-brane charge. On the other hand, the presence of negative D3-brane charge induced by magnetised D7-branes breaks supersymmetry and relaxes the bound, allowing significantly smaller values for g s .
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spelling doaj-art-b9e110af91e142a3b43f1d563a82d88a2024-12-08T12:16:47ZengSpringerOpenJournal of High Energy Physics1029-84792024-09-012024915210.1007/JHEP09(2024)016Flux vacua in type IIB compactifications on orbifolds: their finiteness and minimal string couplingIgnatios Antoniadis0Anthony Guillen1Osmin Lacombe2Laboratoire de Physique Théorique et Hautes Energies — LPTHE, Sorbonne Université, CNRSLaboratoire de Physique Théorique et Hautes Energies — LPTHE, Sorbonne Université, CNRSDipartimento di Fisica e Astronomia, Università di BolognaAbstract We perform a detailed study of (supersymmetric) moduli stabilisation in type IIB toroidal orientifolds with fluxes. We provide strong evidence towards exhaustion of the finite number of inequivalent vacua for a given total 3-form flux charge N flux. We also find that the minimal value of the string coupling g s is given in terms of N flux and present strong evidence for the asymptotic relation g s, min ∼ c / N flux α $$ c/{N}_{\textrm{flux}}^{\alpha } $$ , with α = 1, 2, valid for not too small N flux, where c is an order 1 coefficient and α depends on the orbifold. Imposing tadpole cancellation, N flux is bounded from the number of orientifold O3-planes. Combined with the flux quantisation, this forbids orientifold vacua without anti-brane charge. On the other hand, the presence of negative D3-brane charge induced by magnetised D7-branes breaks supersymmetry and relaxes the bound, allowing significantly smaller values for g s .https://doi.org/10.1007/JHEP09(2024)016Flux CompactificationsSuperstring Vacua
spellingShingle Ignatios Antoniadis
Anthony Guillen
Osmin Lacombe
Flux vacua in type IIB compactifications on orbifolds: their finiteness and minimal string coupling
Journal of High Energy Physics
Flux Compactifications
Superstring Vacua
title Flux vacua in type IIB compactifications on orbifolds: their finiteness and minimal string coupling
title_full Flux vacua in type IIB compactifications on orbifolds: their finiteness and minimal string coupling
title_fullStr Flux vacua in type IIB compactifications on orbifolds: their finiteness and minimal string coupling
title_full_unstemmed Flux vacua in type IIB compactifications on orbifolds: their finiteness and minimal string coupling
title_short Flux vacua in type IIB compactifications on orbifolds: their finiteness and minimal string coupling
title_sort flux vacua in type iib compactifications on orbifolds their finiteness and minimal string coupling
topic Flux Compactifications
Superstring Vacua
url https://doi.org/10.1007/JHEP09(2024)016
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AT anthonyguillen fluxvacuaintypeiibcompactificationsonorbifoldstheirfinitenessandminimalstringcoupling
AT osminlacombe fluxvacuaintypeiibcompactificationsonorbifoldstheirfinitenessandminimalstringcoupling