On the weak gravity conjecture in string theory with broken supersymmetry

Abstract

We use type I string models with supersymmetry broken by compactification (à la Scherk-Schwarz) in order to test the weak gravity conjecture in the presence of runaway potentials in a perturbative string theory setting. For a finite value of the supersymmetry breaking radius there is a runaway potential, which is the only possibility if one accepts the non-existence of de Sitter vacua. Although the weak gravity conjecture is valid in the decompactification limit, for fixed values of the radius we show that there are short-ranged attractive D1 brane-brane interactions. We argue however that at one-loop level the effective tension of the branes decreases and becomes smaller than the effective charge such that there is a long-ranged repulsive force and the weak gravity conjecture is respected. Moreover, for very small $g_s$ we expect a large number of stable bound states to be present.

v4: corrected funding information

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• de Sitter in non-supersymmetric string theories: no-go theorems and brane-worlds
• Duality and Axionic Weak Gravity
• Asymptotic Safety: Swampland or Wonderland?
• Minimal Black Holes and Species Thermodynamics
• Infinite Black Hole Entropies at Infinite Distances and Tower of States
• Multi-field Inflation in High-Slope Potentials
• From infinite to infinitesimal: Using the Universe as a dataset to probe Casimir corrections to the vacuum energy from fields inhabiting the dark dimension
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• Fuzzy Dark Matter and the Dark Dimension
• Supersymmetry Breaking and Stability in String Vacua: brane dynamics, bubbles and the swampland
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