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Weak Gravity Conjecture from Unitarity and Causality

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arxiv 1810.03637 v2 pith:2XFXYTGO submitted 2018-10-08 hep-th gr-qchep-ph

Yuta Hamada , Toshifumi Noumi , Gary Shiu This is my paper · ORCID
classification hep-thgr-qchep-ph
keywords gravityconjecturestatesstringtheoriesweakcausalitycharge-to-mass
verification ladder T0 review T1 audit T2 compute T3 formal
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The weak gravity conjecture states that quantum gravity theories have to contain a charged state with a charge-to-mass ratio bigger than unity. By studying unitarity and causality constraints on higher derivative corrections to the charge-to-mass ratio of extremal back holes, we demonstrate that heavy extremal black holes can play the role of the required charged state under several assumptions. In particular, our argument is applicable when the higher spin states Reggeizing graviton exchange are subdominant in the photon scattering. It covers (1) theories with light neutral bosons such as dilaton and moduli, and (2) UV completion where the photon and the graviton are accompanied by different sets of Regge states just like open string theory. Our result provides an existence proof of the weak gravity conjecture in a wide class of theories, including generic string theory setups with the dilaton or other moduli stabilized below the string scale.

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Cited by 6 Pith papers

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