Abstract
We develop methods for resummation of instanton lattice series. Using these tools, we investigate the consequences of the Weak Gravity Conjecture for large-field axion inflation. We find that the Sublattice Weak Gravity Conjecture implies a constraint on the volume of the axion fundamental domain. However, we also identify conditions under which alignment and clockwork constructions, and a new variant of N -flation that we devise, can evade this constraint. We conclude that some classes of low-energy effective theories of large-field axion inflation are consistent with the strongest proposed form of the Weak Gravity Conjecture, while others are not.
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Heidenreich, B., Long, C., McAllister, L. et al. Instanton resummation and the Weak Gravity Conjecture. J. High Energ. Phys. 2020, 166 (2020). https://doi.org/10.1007/JHEP11(2020)166
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DOI: https://doi.org/10.1007/JHEP11(2020)166