Eur. Phys. J. C (2018) 78: 766
https://doi.org/10.1140/epjc/s10052-018-6248-4

Regular Article - Theoretical Physics

Perturbative moduli stabilisation in type IIB/F-theory framework

¹ Laboratoire de Physique Théorique et Hautes Énergies, LPTHE, Sorbonne Université, CNRS, 4 Place Jussieu, 75005, Paris, France
² Albert Einstein Center, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, 3012, Bern, Switzerland
³ Physics Department, University of Ioannina, 45110, Ioannina, Greece

^* e-mail: leonta@uoi.gr

Received: 5 April 2018
Accepted: 15 September 2018
Published online: 24 September 2018

Abstract

We propose a new mechanism of (geometric) moduli stabilisation in type IIB/F-theory four-dimensional compactifications on Calabi–Yau manifolds, in the presence of 7-branes, that does not rely on non-perturbative effects. Complex structure moduli and the axion-dilaton system are stabilised in the standard way, without breaking supersymmetry, using 3-form internal fluxes. Kähler class moduli stabilisation utilises perturbative string loop corrections, 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.