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We discuss the role of Minkowski 3-forms in flux string vacua. In these vacuaall internal closed string fluxes are in one to one correspondence withquantized Minkowski 4-forms. By performing a dimensional reduction of the$D=10$ Type II supergravity actions we find that the 4-forms act as auxiliaryfields of the Kahler and complex structure moduli in the effective action. Weshow that all the RR and NS axion dependence of the flux scalar potentialappears through the said 4-forms. Gauge invariance of these forms then severelyrestricts the structure of the axion scalar potentials. Combined with dualitysymmetries it suggests that all perturbative corrections to the leading axionscalar potential $V_0$ should appear as an expansion in powers of $V_0$ itself.These facts could have an important effect e.g. on the inflaton models based onF-term axion monodromy. We also suggest that the involved multi-branchedstructure of string vacua provides for a new way to maintain interacting scalarmasses stable against perturbative corrections.

Minkowski 3-forms, Flux String Vacua, Axion Stability and Naturalness