Precise formulation of the Weak Gravity Conjecture with a cosmological constant

Develop a precise formulation of the Weak Gravity Conjecture in the presence of a nonzero cosmological constant, including a clear definition of extremality relative to cosmological scales.

Background

In discussing loop-generated cosmological constants and rolling backgrounds, the authors note that defining extremality and the WGC in spacetimes with a cosmological constant is subtle. They point out that current statements are imprecise and that a rigorous, universally accepted formulation is missing.