# Repulsive forces and the weak gravity conjecture

@article{Heidenreich2019RepulsiveFA, title={Repulsive forces and the weak gravity conjecture}, author={B. J. Heidenreich and Matthew Reece and Tom Rudelius}, journal={Journal of High Energy Physics}, year={2019} }

Abstract
The Weak Gravity Conjecture is a nontrivial conjecture about quantum gravity that makes sharp, falsifiable predictions which can be checked in a broad range of string theory examples. However, in the presence of massless scalar fields (moduli), there are (at least) two inequivalent forms of the conjecture, one based on charge-to-mass ratios and the other based on long-range forces. We discuss the precise formulations of these two conjectures and the evidence for them, as well as the…

## 46 Citations

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## References

SHOWING 1-10 OF 86 REFERENCES

A proof of the weak gravity conjecture

- Physics
- 2017

The weak gravity conjecture suggests that, in a self-consistent theory of quantum gravity, the strength of gravity is bounded from above by the strengths of the various gauge forces in the theory. In…

A stringy test of the Scalar Weak Gravity Conjecture

- PhysicsNuclear Physics B
- 2019

Abstract We prove a version of the Weak Gravity Conjecture for 6d F-theory or heterotic string compactifications with 8 supercharges. This sharpens our previous analysis by including massless scalar…

Weak Gravity Conjecture from Unitarity and Causality.

- Physics, MedicinePhysical review letters
- 2019

This work demonstrates that heavy extremal black holes can play the role of the required charged state under several assumptions and 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.

The weak gravity conjecture and scalar fields

- Physics
- 2017

A bstractWe propose a generalisation of the Weak Gravity Conjecture in the presence of scalar fields. The proposal is guided by properties of extremal black holes in N=2$$ \mathcal{N}=2 $$…

Sharpening the weak gravity conjecture with dimensional reduction

- Physics
- 2015

A bstractWe investigate the behavior of the Weak Gravity Conjecture (WGC) under toroidal compactification and RG flows, finding evidence that WGC bounds for single photons become weaker in the…

The Weak Gravity Conjecture, RG Flows, and Supersymmetry.

- Physics
- 2019

We study one-loop divergences in Einstein-Maxwell theory and their implications for the weak gravity conjecture. In particular, we show that renormalization of these divergences leads to positivity…

The String landscape, black holes and gravity as the weakest force

- Physics
- 2007

We conjecture a general upper bound on the strength of gravity relative to gauge forces in quantum gravity. This implies, in particular, that in a four-dimensional theory with gravity and a U(1)…

Weak Gravity Conjecture and extremal black holes

- PhysicsScience China Physics, Mechanics & Astronomy
- 2019

Motivated by the desire to improve our understanding of the Weak Gravity Conjecture, we compute the one-loop correction of charged particles to the geometry and entropy of extremal black holes in 4D.…

A holographic derivation of the weak gravity conjecture

- PhysicsJournal of High Energy Physics
- 2019

A bstractThe Weak Gravity Conjecture (WGC) demands the existence of superextremal particles in any consistent quantum theory of gravity. The standard lore is that these particles are introduced to…

Naturalness and the weak gravity conjecture.

- Physics, MedicinePhysical review letters
- 2014

The weak gravity conjecture is generalized to product gauge groups and its tension with the naturalness principle for a charged scalar coupled to gravity is studied.