Moduli space curvature and the weak gravity conjecture
Year: 2026
Type: article
Abstract: We unveil a remarkable interplay between rigid field theories (RFTs), charge-to-mass ratios γ , and scalar curvature divergences R div in the vector multiplet moduli space of 4D N = 2 supergravities, obtained upon compactifying type II string theory on Calabi–Yau threefolds. We show that the condition to obtain an RFT that decouples from gravity implies a divergence in the γ of (would-be) BPS particles charged under the rigid theory and vice-versa. For weak coupling limits, where the scalar curvature diverges, we argue that such BPS particles exist and that R div ≲ γ 2 , implying that all these divergences are a consequence of RFT limits. More precisely, along geodesics we find that R div ∼ ( Λ wgc / Λ g ) 2 , where Λ wgc ≡ g rigid M Pl is the RFT cutoff estimate of the weak gravity conjecture and Λ g = g rigid − 2 Λ RFT the electrostatic energy integrated up to its actual cutoff Λ RFT .
DOI: 10.1103/4tf1-c9l7
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4403573126