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Hiding the extra dimensions: A review on scale separation in string theory
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We present an overview of both older and recent developments concerning scale separation in string theory. We focus on parametric scale separation obtained at the classical level in flux compactifications down to AdS vacua. We review the scenarios that have been proposed to achieve a hierarchy of scales between spacetime and the internal space, built from a low-dimensional perspective. We then discuss how they have been understood to arise from proper higher-dimensional descriptions. Eventually, limitations of these constructions as well as Swampland and holographic arguments addressing the question of scale separation in string theory are discussed. The purpose of the review is to draw an accurate picture of the state of the art of the subject at the moment.
Forward citations
Cited by 6 Pith papers
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Quantum corrections to DGKT and the Weak Gravity Conjecture
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Background instability of quintessence model in light of entropy and distance conjecture
An entropy comparison shows quintessence backgrounds with a finite event horizon are unstable, equating the trans-Planckian censorship bound with a species-entropy growth condition.
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Backtracking AdS flux vacua
Flux backtracking produces candidate brane-probe singularities for AdS flux vacua, including a new strongly coupled massive IIA singularity conjectured to be the brane picture of DGKT.
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Warped G$_2$-throats in IIA and uplift dSillusions
Anti-D2 brane uplifting of classical AdS3 vacua in IIA on G2 orientifolds is forbidden by O6 tadpole constraints, so dS3 must rely on quantum corrections to no-scale Minkowski vacua.
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Integer dual dimensions in scale-separated AdS$_3$ from massive IIA
Massive IIA flux compactifications on singular and Joyce G2 orbifolds yield scale-separated AdS3 vacua whose dual operator dimensions are integer up to parametrically small corrections.
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Relative Quantum Gravity: Localized Gravity and the Swampland
Localized gravity theories can violate swampland constraints, but satisfy them when defined relative to a higher-dimensional gravity completion, dubbed relative quantum gravity.
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