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Within the known landscape of quantum gravity, most theories satisfy the Lattice Weak Gravity Conjecture (LWGC), which requires a superextremal particle at every site in the electric charge lattice $\Gamma$. However, counterexamples to the…

High Energy Physics - Theory · Physics 2026-03-06 Matthew Reece , Tom Rudelius

The Weak Gravity Conjecture (WGC) is a proposed constraint on theories with gauge fields and gravity, requiring the existence of light charged particles and/or imposing an upper bound on the field theory cutoff $\Lambda$. If taken as a…

High Energy Physics - Theory · Physics 2017-01-25 Prashant Saraswat

The Weak Gravity Conjecture postulates the existence of superextremal charged particles, i.e. those with mass smaller than or equal to their charge in Planck units. We present further evidence for our recent observation that in known…

High Energy Physics - Theory · Physics 2017-09-13 Ben Heidenreich , Matthew Reece , Tom Rudelius

Common features of known quantum gravity theories may hint at the general nature of quantum gravity. The absence of continuous global symmetries is one such feature. This inspired the Weak Gravity Conjecture, which bounds masses of charged…

High Energy Physics - Theory · Physics 2016-11-15 Ben Heidenreich , Matthew Reece , Tom Rudelius

We study ultraviolet cutoffs associated with the Weak Gravity Conjecture (WGC) and Sublattice Weak Gravity Conjecture (sLWGC). There is a magnetic WGC cutoff at the energy scale $e G_N^{-1/2}$ with an associated sLWGC tower of charged…

High Energy Physics - Theory · Physics 2018-05-23 Ben Heidenreich , Matthew Reece , Tom Rudelius

We examine the minimal constraints imposed by the Weak Gravity Conjecture (WGC) on the particle spectrum of a quantum gravity theory. Towers of super-extremal states have previously been argued to be required for consistency of the WGC…

High Energy Physics - Theory · Physics 2024-05-20 Cesar Fierro Cota , Alessandro Mininno , Timo Weigand , Max Wiesner

Recently, it has been argued that application of the Weak Gravity Conjecture (WGC) to spin-2 fields implies a universal upper bound on the cutoff of the effective theory for a single spin-2 field. We point out here that these arguments are…

High Energy Physics - Theory · Physics 2019-11-27 Claudia de Rham , Lavinia Heisenberg , Andrew J. Tolley

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 particular, this intriguing conjecture…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Shahar Hod

We 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 infrared. By contrast, we find that a photon satisfying…

High Energy Physics - Theory · Physics 2016-05-18 Ben Heidenreich , Matthew Reece , Tom Rudelius

The tower Weak Gravity Conjecture predicts infinitely many super-extremal states along every ray in the charge lattice of a consistent quantum gravity theory. We show this far-reaching claim in five-dimensional compactifications of M-theory…

High Energy Physics - Theory · Physics 2023-08-15 Cesar Fierro Cota , Alessandro Mininno , Timo Weigand , Max Wiesner

The Weak Gravity Conjecture (WGC) asserts a powerful consistency condition on gauge theories coupled to gravity, and it is widely believed that its proof will shed light on the quantum origin of gravitational interactions. Holography, and…

High Energy Physics - Theory · Physics 2018-11-01 Alfredo Urbano

We demonstrate that the Weak Gravity Conjecture (WGC) and the Festina-Lente Conjecture (FLC) yield novel bounds on fifth force searches and milli-Charged Particles (mCPs), as well as on the scale of inflation and on the effective Higgs…

High Energy Physics - Phenomenology · Physics 2026-03-18 Fayez Abu-Ajamieh , Pratik Chattopadhyay , Nobuchika Okada , Roman Pasechnik , Zhi-Wei Wang

The Weak Gravity Conjecture holds that in a theory of quantum gravity, any gauge force must mediate interactions stronger than gravity for some particles. This statement has surprisingly deep and extensive connections to many different…

High Energy Physics - Theory · Physics 2023-09-14 Daniel Harlow , Ben Heidenreich , Matthew Reece , Tom Rudelius

We study weakly coupled $U(1)$ theories in $AdS_3$, their associated charged BTZ solutions, and their charged spectra. We find that modular invariance of the holographic dual two-dimensional CFT and compactness of the gauge group together…

High Energy Physics - Theory · Physics 2016-11-23 Miguel Montero , Gary Shiu , Pablo Soler

The Weak Gravity Conjecture (WGC) posits that gravity must be the weakest force in any consistent theory of quantum gravity. Originally formulated to constrain the landscape of effective field theories arising from string theory, the WGC…

High Energy Physics - Phenomenology · Physics 2025-04-30 Gayatri Ghosh

We explore possible extensions of the Weak Gravity Conjecture (WGC) to scalar field theories. To avoid charged black hole remnants, the WGC requires the existence of a particle with a mass $m < g q M_P$, with charge $q$ and U(1) gauge…

High Energy Physics - Theory · Physics 2023-05-22 Emilian Dudas , Tony Gherghetta , Keith A. Olive , Sarunas Verner

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…

High Energy Physics - Theory · Physics 2019-08-07 Yuta Hamada , Toshifumi Noumi , Gary Shiu

The minimal Weak Gravity Conjecture (WGC) predicts the emergence of towers of superextremal states in both weak and strong coupling limits. In this work, we study M-theory compactified on a special class of Calabi-Yau threefolds to…

High Energy Physics - Theory · Physics 2025-10-28 Mohammed Charkaoui , Rajae Sammani , El Hassan Saidi , Rachid Ahl Laamara

Matter-free lattice gauge theories (LGTs) provide an ideal setting to understand confinement to deconfinement transitions at finite temperatures, which is typically due to the spontaneous breakdown (at large temperatures) of the centre…

High Energy Physics - Lattice · Physics 2023-02-20 Indrajit Sau , Arnab Sen , Debasish Banerjee

The black hole weak gravity conjecture (WGC) is a set of linear inequalities on the four-derivative corrections to Einstein--Maxwell theory. Remarkably, in four dimensions, these combinations appear in the $2 \to 2$ photon amplitudes,…

High Energy Physics - Theory · Physics 2022-09-07 Johan Henriksson , Brian McPeak , Francesco Russo , Alessandro Vichi
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