Dictionary for the type II nongeometric flux compactifications

We study the $T$-dual completion of four-dimensional $\mathcal{N}=1$ type II effective potentials in presence (non)geometric fluxes. First, we invoke a cohomology version transformations among various moduli, axions, and fluxes appearing IIA IIB supergravities. This leads to some useful observations about significant mixing standard NS-NS with on mirror side. Further, using our $T$-duality rules, establish an explicit mapping $F$ terms, $D$ tadpole conditions, Bianchi identities two theories. Second, propose what call set ``axionic flux polynomials,'' which depend all axionic moduli subsequently helps present scalar concise manifestly form, can be directly utilized for phenomenological purposes, as illustrate couple examples.