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Peer-reviewedCC BYPhysical review. D/Physical review. D.

Moduli space curvature and the weak gravity conjecture

  • Alberto Castellano1
  • Fernando Marchesano2,3
  • Luca Melotti2,3
  • Lorenzo Paoloni2,3
  1. 1University of Chicago
  2. 2Instituto de Física Teórica UAM-CSIC
  3. 3Universidad Autónoma de Madrid
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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 .

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Cite

BibTeXRIS
BibTeX
@article{castellano2026moduli,
  title = {{Moduli space curvature and the weak gravity conjecture}},
  author = {Alberto Castellano and Fernando Marchesano and Luca Melotti and Lorenzo Paoloni},
  journal = {Physical review. D/Physical review. D.},
  year = {2026},
  month = may,
  doi = {10.1103/4tf1-c9l7},
  url = {https://doi.org/10.1103/4tf1-c9l7},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Moduli space curvature and the weak gravity conjecture
AU  - Alberto Castellano
AU  - Fernando Marchesano
AU  - Luca Melotti
AU  - Lorenzo Paoloni
PY  - 2026
DA  - 2026/05/29
JO  - Physical review. D/Physical review. D.
DO  - 10.1103/4tf1-c9l7
UR  - https://doi.org/10.1103/4tf1-c9l7
AB  - 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 .
SN  - 2470-0010
SN  - 2470-0029
SN  - 2470-0037
ER  -