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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 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 analyze infrared consistency conditions of 3D and 4D effective field theories with massive scalars or fermions charged under multiple $U(1)$ gauge fields. At low energies, one can integrate out the massive particles and thus obtain a…

High Energy Physics - Theory · Physics 2018-07-04 Stefano Andriolo , Daniel Junghans , Toshifumi Noumi , Gary Shiu

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…

High Energy Physics - Theory · Physics 2020-11-02 Ben Heidenreich , Matthew Reece , Tom Rudelius

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

We consider the gravitational correction to the running of gauge coupling. Weak gravity conjecture implies that the gauge theories break down when the gravitational correction becomes greater than the contribution from gauge theories. This…

High Energy Physics - Theory · Physics 2010-10-27 Qing-Guo Huang

We 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 ${\cal N}=2$ supergravity, but can be understood more generally in terms of…

High Energy Physics - Theory · Physics 2017-09-13 Eran Palti

In the presence of large extra dimensions, the fundamental Planck scale can be much lower than the apparent four-dimensional Planck scale. In this setup, the weak gravity conjecture implies a much more stringent constraint on the UV cutoff…

High Energy Physics - Theory · Physics 2008-11-26 Qing-Guo Huang

The Weak Gravity Conjecture states that in any consistent theory of quantum gravity in the landscape of string theory, the repulsive force mediated by a U(1) gauge field must be stronger than the attractive force of gravity. In this work,…

High Energy Physics - Theory · Physics 2025-03-13 Tommaso Antonelli , Xavier Calmet

We conjecture an intrinsic UV cutoff for the validity of the effective field theory with a large number of species coupled to gravity. In four dimensions such a UV cutoff takes the form $\Lambda=\sqrt{\lambda/ N}M_p$ for $N$ scalar fields…

High Energy Physics - Theory · Physics 2008-11-26 Qing-Guo Huang

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

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 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

In recent literature, it has been argued that a mild form of the Weak Gravity Conjecture (WGC) is satisfied by wide classes of effective field theories in which higher-derivative corrections can be shown to shift the charge-to-mass ratios…

High Energy Physics - Theory · Physics 2019-09-06 Lars Aalsma , Alex Cole , Gary Shiu

We explore the prospects for bounding the weak scale using the weak gravity conjecture (WGC), addressing the hierarchy problem by violating the expectations of effective field theory. Building on earlier work by Cheung and Remmen, we…

High Energy Physics - Phenomenology · Physics 2019-10-02 Nathaniel Craig , Isabel Garcia Garcia , Seth Koren

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

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 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 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

We consider the gravitational correction to the coupling of the scalar fields. Weak gravity conjecture says that the gravitational correction to the running of scalar coupling should be less than the contribution from scalar fields. For…

High Energy Physics - Theory · Physics 2010-10-27 Qing-Guo Huang
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