Single-field slow-roll effective potential from Kähler moduli stabilizations in type-IIB/F-theory

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