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The M-theory origin of the IIB gauged supergravities in nine dimensions,classified according to the inequivalent classes of monodromy, is shown toexactly corresponds to the global description of the supermembrane with centralcharges. The global description is a realization of the sculpting mechanism ofgauging (arXiv:1107.3255) and it is associated to particular deformation offibrations. The supermembrane with central charges may be formulated in termsof sections on symplectic torus bundles with SL(2,Z) monodromy. This globalformulation corresponds to the gauging of the abelian subgroups of SL(2,Z)associated to monodromies acting on the target torus. We show the existence ofthe trombone symmetry in the supermembrane formulated as a non-linearrealization of the SL(2,Z) symmetry and construct its gauging in terms of thesupermembrane formulated on an inequivalent class of symplectic torusfibration. The supermembrane also exhibits invariance under T-duality and wefind the explicit T-duality transformation. It has a natural interpretation interms of the cohomology of the base manifold and the homology of the targettorus. We conjecture that this construction also holds for the IIA origin ofgauged supergravities in 9D such that the supermembrane becomes the origin ofall type II supergravities in 9D. The geometric structure of the symplectictorus bundle goes beyond the classification on conjugated classes of SL(2,Z).It depends on the elements of the coinvariant group associated to the monodromygroup. The possible values of the (p,q) charges on a given symplectic torusbundle are restricted to the corresponding equivalence class defining theelement of the coinvariant group.

Supermembrane origin of type II gauged supergravities in 9D