# Weak Gravity Conjecture in de Sitter space-time

Abstract : We propose a generalisation of the Weak Gravity Conjecture in de Sitter space by studying charged black-holes and comparing the gravitational and an abelian gauge forces. Using the same condition as in flat space, namely the absence of black-hole remnants, one finds that for a given mass $m$ there should be a state with a charge $q$ bigger than a minimal value $q_{\rm min}(m,l)$, depending on the mass and the de Sitter radius $l$, in Planck units. In the large radius flat space limit (large $l$), $q_{\rm min}\to m$ leading to the known result $q>m/\sqrt{2}$, while in the highly curved case (small $l$) $q_{\rm min}$ behaves as $\sqrt{ml}$. We also discuss the example of the gauged R-symmetry in $N=1$ supergravity.
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https://hal.archives-ouvertes.fr/hal-02899262
Contributor : Inspire Hep <>
Submitted on : Wednesday, July 15, 2020 - 6:50:44 AM
Last modification on : Wednesday, August 5, 2020 - 6:15:39 AM

### Citation

Ignatios Antoniadis, Karim Benakli. Weak Gravity Conjecture in de Sitter space-time. 2020. ⟨hal-02899262⟩

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