Duality and axionic weak gravity
Stefano Andriolo, Tzu-Chen Huang, Toshifumi Noumi, Hirosi Ooguri, Gary Shiu
Abstract
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.
Topics & Concepts
UnitarityConjectureDuality (order theory)InstantonPhysicsScattering amplitudeDilatonMathematical physicsAmplitudeAxionTheoretical physicsMathematicsParticle physicsPure mathematicsQuantum mechanicsDark matterBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories