Does the scalar potential:
V=eK(KIˉJ)DIWDˉJˉW−3|W|2
arise **because** of the presence of fluxes?
If the fluxes are "turned off", does this mean F3=0 and H3=0, or that the integral of these field strengths over a particular cycle is zero (_i.e._ there are no non-trivial sources available in the theory)?
I usually see the F3 and H3 referred to as fluxes but I always thought these were field strengths.
To be specific this whole confusion arises from studying [*The Effective Action of N=1 Calabi-Yau orientifolds*][1]. Footnote 9 says not having fluxes would result in not having the V potential in the 4D action; wouldn't also the kinetic terms for the field strength vanish?
[1]: https://arxiv.org/abs/hep-th/0403067