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Autores principales: Antoniadis, Ignatios, Guillen, Anthony, Lacombe, Osmin
Formato: Preprint
Publicado: 2024
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Acceso en línea:https://arxiv.org/abs/2404.18995
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author Antoniadis, Ignatios
Guillen, Anthony
Lacombe, Osmin
author_facet Antoniadis, Ignatios
Guillen, Anthony
Lacombe, Osmin
contents 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 $N_{\rm flux}$. We also find that the minimal value of the string coupling $g_s$ is given in terms of $N_{\rm flux}$ and present strong evidence for the asymptotic relation $g_{s,\,\rm{min}}\sim c/N_{\rm flux}^α$, with $α=1,2$, valid for not too small $N_{\rm flux}$, where $c$ is an order 1 coefficient and $α$ depends on the orbifold. Imposing tadpole cancellation, $N_{\rm flux}$ 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 $g_s$.
format Preprint
id arxiv_https___arxiv_org_abs_2404_18995
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Flux vacua in type IIB compactifications on orbifolds: their finiteness and minimal string coupling
Antoniadis, Ignatios
Guillen, Anthony
Lacombe, Osmin
High Energy Physics - Theory
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 $N_{\rm flux}$. We also find that the minimal value of the string coupling $g_s$ is given in terms of $N_{\rm flux}$ and present strong evidence for the asymptotic relation $g_{s,\,\rm{min}}\sim c/N_{\rm flux}^α$, with $α=1,2$, valid for not too small $N_{\rm flux}$, where $c$ is an order 1 coefficient and $α$ depends on the orbifold. Imposing tadpole cancellation, $N_{\rm flux}$ 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 $g_s$.
title Flux vacua in type IIB compactifications on orbifolds: their finiteness and minimal string coupling
topic High Energy Physics - Theory
url https://arxiv.org/abs/2404.18995