Duality and Axionic Weak Gravity
2020
The axionic weak gravity conjecture predicts the existence of instantons
whose actions are less than their charges in appropriate units. We show that
the conjecture is satisfied for the axion-dilaton-gravity system if we assume
duality constraints on the higher derivative corrections in addition to
positivity bounds which follow from unitarity, analyticity, and locality of UV
scattering amplitudes. On the other hand, the conjecture does not follow if we
assume the positivity bounds only. This presents an example where derivation of
the weak gravity conjecture requires more detailed UV information than the
consistency of scattering amplitudes.
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