Perturbative moduli stabilisation in type IIB/F-theory framework

Antoniadis, Ignatios; Chen, Yifan; Leontaris, George K. (2018). Perturbative moduli stabilisation in type IIB/F-theory framework. European physical journal. C - particles and fields, 78(9) EDP Sciences 10.1140/epjc/s10052-018-6248-4

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We propose a new mechanism of (geometric) moduli stabilisation in type IIB/F-theory four-dimensional compactifications on Calabi–Yau manifolds, in the pres- ence of 7-branes, that does not rely on non-perturbative effects. Complex structure moduli and the axion-dilaton sys- tem are stabilised in the standard way, without breaking supersymmetry, using 3-form internal fluxes. Kähler class moduli stabilisation utilises perturbative string loop correc- tions, together with internal magnetic fields along the D7- branes world-volume leading to Fayet-Iliopoulos D-terms in the effective supergravity action. The main ingredient that makes the stabilisation possible at a de Sitter vacuum is the logarithmic dependence of the string loop corrections in the large two-dimensional transverse volume limit of the 7-branes.

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