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Amplitudes’ Positivity in Gravitational Theories, and the Weak Gravity Conjecture

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If you have a question about this talk, please contact Sadra Jazayeri.

I will discuss new positivity bounds for scattering amplitudes in theories with a massless graviton in the spectrum in four spacetime dimensions. The bounds imply that extremal black holes are self-repulsive, M/|Q|< 1 in suitable units, and that they are unstable to decay to smaller extremal black holes, hence providing an S-matrix proof of the weak gravity conjecture. I will also present applications of these bounds to modified gravity theories, such as weakly broken galileons, showing that they have a very low cutoff, much smaller than their strong coupling scale.

This talk is part of the Cosmology Lunch series.

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