Journal
PHYSICAL REVIEW LETTERS
Volume 123, Issue 25, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.123.251103
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Funding
- Collaborative Research Center [SFB1258]
- DFG [EXC 153]
- Enhanced Eurotalents fellowship, a Marie Sklodowska-Curie Actions program
- European Research Council [ERC-STG-639729]
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We derive new positivity bounds for scattering amplitudes in theories with a massless graviton in the spectrum in four spacetime dimensions, of relevance for the weak gravity conjecture and modified gravity theories. The bounds imply that extremal black holes are self-repulsive, M/vertical bar Q vertical bar < 1 in suitable units, and that they are unstable to decay to smaller extremal black holes, providing an S-matrix proof of the weak gravity conjecture. We also present other applications of our bounds to the effective field theory of weakly broken Galileons, axions, and P(X) theories.
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