Weak Gravity Conjecture in de Sitter Space-Time

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 massmthere should be a state with a chargeqbigger than a minimal valueqmin(m,l), depending on the mass and the de Sitter radiusl, in Planck units. In the large radius flat space limit (largel),qmin -> mleading to the known resultq>m/2, while in the highly curved case (smalll)q(min)behaves asml. We also discuss the example of the gauged R-symmetry inN=1 supergravity.