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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 existence of a particle which is…

High Energy Physics - Theory · Physics 2021-12-15 Ofer Aharony , Eran Palti

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 of higher-derivative corrections to the…

High Energy Physics - Theory · Physics 2019-06-20 Anthony M. Charles

The 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 ensure that extremal black holes are either unstable…

High Energy Physics - Theory · Physics 2019-04-09 Miguel Montero

We consider the shift of charge-to-mass ratio for extremal black holes in the context of effective field theory, motivated by the Weak Gravity Conjecture. We constrain extremality corrections in different regimes subject to unitarity and…

High Energy Physics - Theory · Physics 2022-03-17 Nima Arkani-Hamed , Yu-tin Huang , Jin-Yu Liu , Grant N. Remmen

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

In this study, we investigate the Weak Gravity Conjecture (WGC) in the context of quantum-corrected AdS-Reissner-Nordstrom (AdS-RN) black holes within Kiselev spacetime. Our focus is on photon spheres, which serve as markers for stable and…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Mohammad Reza Alipour , Mohammad Ali S. Afshar , Saeed Noori Gashti , Jafar Sadeghi

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. We find that fermion loops provide…

High Energy Physics - Theory · Physics 2017-06-30 William Cottrell , Gary Shiu , Pablo Soler

We point out that the Weak Gravity Conjecture (WGC) implies that sufficiently small extremal black holes are necessarily in the strong-field regime of electrodynamics, and therefore probe the UV completion of the Maxwell sector. To…

High Energy Physics - Theory · Physics 2025-10-21 Sergio Barbosa , Sylvain Fichet , Lucas de Souza

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) gauge field with gauge coupling g, there is a…

High Energy Physics - Theory · Physics 2010-04-06 Nima Arkani-Hamed , Lubos Motl , Alberto Nicolis , Cumrun Vafa

The initial 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 holes. Here we show that, when this…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Brett McInnes

In this paper, we explore the Weak Gravity Conjecture (WGC) within the context of photon spheres in charged black holes, framed by Perfect Fluid in Rastall Theory. We aim to validate the WGC by identifying the extremality states of these…

High Energy Physics - Theory · Physics 2024-10-21 Saeed Noori Gashti , İzzet Sakallı , Behnam Pourhassan

We study charged scalar perturbations of charged extremal black holes in Einstein-Born-Infeld theory. Our numerical results indicate that these black holes all suffer from superradiant instability by the unstable quasi-bound states,…

High Energy Physics - Theory · Physics 2024-04-05 Ze-Hua Wu , H. Lu

We present a semiclassical proof of the weak gravity conjecture in $D = 4$ spacetime dimensions for scalar matter gauged under a $U(1)^N$ gauge group. We compute the non-perturbative macroscopic entropy of a scalar field in an extremal…

High Energy Physics - Theory · Physics 2017-10-18 Zachary Fisher , Christopher J. Mogni

We use type I string models with supersymmetry broken by compactification (\`a la Scherk-Schwarz) in order to test the weak gravity conjecture in the presence of runaway potentials in a perturbative string theory setting. For a finite value…

High Energy Physics - Theory · Physics 2021-05-28 Quentin Bonnefoy , Emilian Dudas , Severin Lüst

We prove that higher-dimension operators contribute positively to the entropy of a thermodynamically stable black hole at fixed mass and charge. Our results apply whenever the dominant corrections originate at tree level from quantum field…

High Energy Physics - Theory · Physics 2018-10-08 Clifford Cheung , Junyu Liu , Grant N. Remmen

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

We study the Weak Gravity Conjecture in the presence of scalar fields. The Weak Gravity Conjecture is a consistency condition for a theory of quantum gravity asserting that for a U(1) gauge field, there is a particle charged under this…

High Energy Physics - Theory · Physics 2023-02-23 Clemens Vittmann

We present a complete proof of the Weak Gravity Conjecture in any perturbative bosonic string theory in spacetime dimension $D\ge6$. Our proof works by relating the black hole extremality bound to long range forces, which are more easily…

High Energy Physics - Theory · Physics 2025-06-13 Ben Heidenreich , Matteo Lotito

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

We show that the recently proposed weak gravity conjecture\cite{AMNV0601} can be extended to a class of scalar field theories. Taking gravity into account, we find an upper bound on the gravity interaction strength, expressed in terms of…

High Energy Physics - Theory · Physics 2010-02-03 Miao Li , Wei Song , Yushu Song , Tower Wang