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Weak gravity versus scale separation
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We give evidence that fully supersymmetric Anti-de Sitter vacua of extended supergravity with a residual gauge group containing an abelian factor cannot be scale separated as a consequence of the weak gravity conjecture. We prove this for N=2 and N=8 supergravity and we explain how our argument applies also to vacua with partially broken, but extended residual supersymmetry. We finally discuss possible loopholes and especially how certain N=1 models can evade our reasoning. Our results suggest that N=0,1 supersymmetry at the lagrangian level might be the most promising chances to obtain a truly four-dimensional effective description of quantum gravity.
Forward citations
Cited by 3 Pith papers
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Towers of Operators in CFTs and Convexity Bounds at Large Charge
In 3d CFTs with moduli spaces, the projected large-charge tower obeys the convexity bound α0≤0, while the leading slope α1 has no universal bound besides α1≥0.
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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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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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