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The dualization of the scalar fields of a theory into (d-2)-form potentialspreserving all the global symmetries is one of the main problems in theconstruction of democratic pseudoactions containing simultaneously all theoriginal fields and their duals. We study this problem starting with thesimplest cases and we show how it can be solved for scalars parametrizingRiemannian symmetric sigma-models as in maximal and half-maximalsupergravities. Then, we use this result to write democratic pseudoactions fortheories in which the scalars are non-minimally coupled to (p+1)-formpotentials in any dimension. These results include a proposal of democraticpseudoaction for the generic bosonic sector of 4-dimensional maximal andhalf-maximal ungauged supergravities. Furthermore, we propose a democraticpseudoaction for the bosonic sector of N=2B,d=10 supergravity (the effectiveaction of the type IIB superstring theory) containing two 0-, two 2-, one 4-,two 6- and three 8-forms which is manifestly invariant under global SL(2,R)transformations.

Democratic actions with scalar fields: symmetric sigma models, supergravity actions and the effective theory of the type IIB superstring