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We derive conditions for the existence of four-dimensional \N=1supersymmetric flux vacua of massive type IIA string theory with generalsupergravity fluxes turned on. For an SU(3) singlet Killing spinor, we showthat such flux vacua exist only when the internal geometry is nearly-K\"ahler.The geometry is not warped, all the allowed fluxes are proportional to the massparameter and the dilaton is fixed by a ratio of (quantized) fluxes. Thefour-dimensional cosmological constant, while negative, becomes small in thevacuum with the weak string coupling.Comment: 4 page

physical review letters

General<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math>Supersymmetric Flux Vacua of Massive Type IIA String Theory

GeneralN=1Supersymmetric Flux Vacua of Massive Type IIA String Theory