  The continuous shift symmetry of axions is at the heart of several
realizations of inflationary models. In particular, axion monodromy inflation
aims at achieving super-Planckian field ranges for the inflaton in the context
of string theory. Despite the elegant underlying principle, explicit models
constructed hitherto are exceedingly complicated. We propose a new and better
axion monodromy inflationary scenario, where the inflaton potential arises from
an F-term. We present several scenarios, where the axion arises from the
Kaluza-Klein compactification of higher dimensional gauge fields (or p-form
potentials) in the presence of fluxes and/or torsion homology. The monodromy
corresponds to a change in the background fluxes, and its F-term nature
manifests in the existence of domain walls interpolating among flux
configurations. Our scenario leads to diverse inflaton potentials, including
linear large field behaviour, chaotic inflation, as well as potentials with
even higher powers. They provide an elegant set of constructions with
properties in the ballpark of the recent BICEP2 observational data on
primordial gravitational waves.
