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Compactification on negatively curved manifolds
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We show that string/M theory compactifications to maximally symmetric space-times using manifolds whose scalar curvature is everywhere negative, must have significant warping, large stringy corrections, or both.
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Quantum corrections to DGKT and the Weak Gravity Conjecture
Quantum corrections from gaugino condensation and D2 instantons lift the DGKT D4-brane moduli space, making the branes self-attractive and putting the vacuum in tension with the membrane WGC.
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