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… 

Figures from this paper

Weak gravity (and other conjectures) with broken supersymmetry
We study the weak gravity conjecture in non-supersymmetric string theory setups. Precisely, those are type I string theory with supersymmetry broken a la Scherk-Schwarz and open strings on D branes
Convexity of charged operators in CFTs and the weak gravity conjecture
The Weak Gravity Conjecture is typically stated as a bound on the mass-to-charge ratio of a particle in the theory. Alternatively, it has been proposed that its natural formulation is in terms of the
A conjecture on the minimal size of bound states
We conjecture that, in a renormalizable effective quantum field theory where the heaviest stable particle has mass $m$, there are no bound states with radius below $1/m$ (Bound State Conjecture). We
The Weak Gravity Conjecture and axion strings
Abstract Strong (sublattice or tower) formulations of the Weak Gravity Conjecture (WGC) imply that, if a weakly coupled gauge theory exists, a tower of charged particles drives the theory to strong
Covariant formulation of BPS black holes and the scalar weak gravity conjecture
In this note we analyze the BPS black hole equations in extended supergravities and we find two interesting relations involving first and second derivatives of combinations of the central charges.
Dimensional reduction and (Anti) de Sitter bounds
Dimensional reduction has proven to be a surprisingly powerful tool for delineating the boundary between the string landscape and the swampland. Bounds from the Weak Gravity Conjecture and the
Merging the weak gravity and distance conjectures using BPS extremal black holes
We analyze the charge-to-mass structure of BPS states in general infinite-distance limits of N $$ \mathcal{N} $$ = 2 compactifications of Type IIB string theory on Calabi-Yau three-folds, and use the
Dilatonic (Anti-)de Sitter black holes and Weak Gravity Conjecture
Abstract Einstein-Maxwell-dilaton theory with non-trivial dilaton potential is known to admit asymptotically flat and (Anti-)de Sitter charged black hole solutions. We investigate the conditions for
Extremal Instability for Topological Black Holes
The basic idea underlying the Weak Gravity Conjecture is that extremal black holes must always be “unstable”, in the sense that they should slowly decay by emitting either particles or smaller black
The Swampland Conjectures: A Bridge from Quantum Gravity to Particle Physics
The swampland is the set of seemingly consistent low-energy effective field theories that cannot be consistently coupled to quantum gravity. In this review we cover some of the conjectural properties
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 86 REFERENCES
A proof of the weak gravity conjecture
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
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.
TLDR
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
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
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.
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
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
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
  • M. Montero
  • Physics
    Journal 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.
TLDR
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.
...
1
2
3
4
5
...