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High Energy Physics - Theory, hep-th
Abstract:
We study flux compactifications of 10d type II supergravities to 4d Minkowski
space-time, supported by parallel orientifold Op-planes with 3 $\leq$ p $\leq$
8. Upon few geometric restrictions, the 4d Ricci scalar can be written as a
negative sum of squares involving BPS-like conditions. Setting all squares to
zero provides automatically a solution to 10d equations of motion. This way, we
characterise a broad class, if not the complete set, of Minkowski flux vacua.
We also conjecture an extension to include non-geometric fluxes. None of our
results rely on supersymmetry.
