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arXiv · 2404.18995

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

Ignatios Antoniadis·Anthony Guillen·Osmin Lacombe
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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 $N_{\rm flux}$. 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 $g_{s,\,\rm{min}}\sim c/N_{\rm flux}^\alpha$, with $\alpha=1,2$, valid for not too small $N_{\rm flux}$, where $c$ is an order 1 coefficient and $\alpha$ 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 $g_s$.

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Ignatios Antoniadis, Anthony Guillen, Osmin Lacombe. 2024-04-29. Flux vacua in type IIB compactifications on orbifolds: their finiteness and minimal string coupling. https://doi.org/10.1007/jhep09(2024)016

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