Abstract
We provide the dictionary between four-dimensional gauged supergravity and type II compactifications on \( \mathbb{T} \) 6 with metric and gauge fluxes in the absence of supersymmetry breaking sources, such as branes and orientifold planes. Secondly, we prove that there is a unique isotropic compactification allowing for critical points. It corresponds to a type IIA background given by a product of two 3-tori with SO(3) twists and results in a unique theory (gauging) with a non-semisimple gauge algebra. Besides the known four AdS solutions surviving the orientifold projection to \( \mathcal{N} \) = 4 induced by O6-planes, this theory contains a novel AdS solution that requires non-trivial orientifold-odd fluxes, hence being a genuine critical point of the \( \mathcal{N} \) = 8 theory.
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Dibitetto, G., Guarino, A. & Roest, D. Lobotomy of flux compactifications. J. High Energ. Phys. 2014, 67 (2014). https://doi.org/10.1007/JHEP05(2014)067
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DOI: https://doi.org/10.1007/JHEP05(2014)067