Single field slow-roll effective potential from K\"ahler moduli stabilizations in type IIB/F-theory

Abstract

We derive a single field slow-roll inflaton potential in three intersecting $D7$ branes configuration under type IIB/F-theory compactification. Among three resulting K\"{a}hler moduli corresponding to three orthogonal directions, two are stabilized via perturbative corrections in K\"{a}hler potential arising from large volume scenario ($\alpha'^3$) and four graviton scattering amplitude upto one loop level and the remaining K\"{a}hler modulus is stabilized by KKLT-type non-perturbative correction in superpotential. The symmetric combination of two canonically normalized and perturbatively stabilized K\"{a}hler moduli gives the inflaton field and the anti-symmetric combination manifests as an auxiliary field.