We study compactifications of type IIA supergravity on cosets exhibiting SU(3) structure. We establish the consistency of the truncation based on left-invariance, providing a justification for the choice of expansion forms which yields gauged N = 2 supergravity in four dimensions. We explore N = 1 solutions of these theories, emphasizing the requirements of… (More)
Type II supergravity on backgrounds admitting SU(3)×SU(3) structure and general fluxes is considered. Using the generalized geometry formalism, we study dimensional reductions leading to N = 2 gauged supergravity in four dimensions, possibly with tensor multiplets. In particular, a geometric formula for the full N = 2 scalar potential is given. Then we… (More)
Current medically relevant metals for prosthetic reconstructions enjoy a relatively good success rate, but their performance drops significantly in patients with compromised health status, and post-surgical infections still remain an important challenge. To address these problems, different nanotechnology-based strategies have been exploited to create… (More)
—We consider fourth order nonlinear problems which describe electrostatic actuation in MicroElectroMechan-icalSystems (MEMS) both in the stationary case and in the evolution case; we prove existence, uniqueness and regularity theorems by exploiting the Near Operators Theory.
We apply the techniques of special Kähler geometry to investigate AdS 4 vacua of general N = 2 gauged supergravities underlying flux compactifications of type II theories. We formulate the scalar potential and its extremization conditions in terms of a triplet of prepotentials P x and their special Kähler covariant derivatives only, in a form that recalls… (More)