In codimension-one warped compactifications with exponential potentials, the KK mass decay rate λ_KK is reduced by warping but still satisfies the Sharpened Distance Conjecture precisely when the higher-dimensional potential obeys the Strong de Sitter condition.
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The paper reviews how higher-order flux superpotential terms stabilize massless fields in specific Landau-Ginzburg models, yielding isolated Minkowski vacua that test tadpole and massless Minkowski conjectures.
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String theory imposes constraints on dark energy but permits various construction attempts for de Sitter vacua and single-field exponential quintessence models despite obstructions.