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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

The axion Weak Gravity Conjecture implies that when parametrically increasing the axion decay constants, instanton corrections become increasingly important. We provide strong evidence for the validity of this conjecture by studying the…

High Energy Physics - Theory · Physics 2020-04-22 Thomas W. Grimm , Damian van de Heisteeg

The electric Weak Gravity Conjecture demands that axions with large decay constant $f$ couple to light instantons. The resulting large instantonic corrections pose problems for natural inflation. We explore an alternative argument based on…

High Energy Physics - Theory · Physics 2017-04-26 Arthur Hebecker , Philipp Henkenjohann , Lukas T. Witkowski

It is widely believed and in part established that exact global symmetries are inconsistent with quantum gravity. One then expects that approximate global symmetries can be quantitatively constrained by quantum gravity or swampland…

High Energy Physics - Theory · Physics 2020-09-22 Tristan Daus , Arthur Hebecker , Sascha Leonhardt , John March-Russell

Several recent works have claimed that the Weak Gravity Conjecture (WGC) excludes super-Planckian displacements of axion fields, and hence large-field axion inflation, in the absence of monodromy. We argue that in theories with $N\gg1$…

High Energy Physics - Theory · Physics 2016-09-01 Thomas C. Bachlechner , Cody Long , Liam McAllister

Axions with broken discrete shift symmetry (axion monodromy) have recently played a central role both in the discussion of inflation and the `relaxion' approach to the hierarchy problem. We suggest a very minimalist way to constrain such…

High Energy Physics - Theory · Physics 2016-07-21 Arthur Hebecker , Fabrizio Rompineve , Alexander Westphal

We discuss quantum gravitational effects in Einstein theory coupled to periodic axion scalars to analyze the viability of several proposals to achieve superplanckian axion periods (aka decay constants) and their possible application to…

High Energy Physics - Theory · Physics 2015-09-30 Miguel Montero , Angel M. Uranga , Irene Valenzuela

The axionic weak gravity conjecture predicts the existence of instantons whose actions are less than their charges in appropriate units. We show that the conjecture is satisfied for the axion-dilaton-gravity system if we assume duality…

High Energy Physics - Theory · Physics 2020-08-20 Stefano Andriolo , Tzu-Chen Huang , Toshifumi Noumi , Hirosi Ooguri , Gary Shiu

Models of large-field inflation based on axion-like fields with shift symmetries can be simple and natural, and make a promising prediction of detectable primordial gravitational waves. The Weak Gravity Conjecture is known to constrain the…

High Energy Physics - Theory · Physics 2016-01-27 Ben Heidenreich , Matthew Reece , Tom Rudelius

We develop methods for resummation of instanton lattice series. Using these tools, we investigate the consequences of the Weak Gravity Conjecture for large-field axion inflation. We find that the Sublattice Weak Gravity Conjecture implies a…

High Energy Physics - Theory · Physics 2020-12-30 Ben Heidenreich , Cody Long , Liam McAllister , Tom Rudelius , John Stout

The Weak Gravity Conjecture, if valid, rules out simple models of Natural Inflation by restricting their axion decay constant to be sub-Planckian. We revisit stringy attempts to realise Natural Inflation, with a single open string axionic…

High Energy Physics - Theory · Physics 2016-06-29 Karta Kooner , Susha Parameswaran , Ivonne Zavala

Weak gravity conjecture can be formulated as a statement that gravity must be the weakest force, compared to the other interactions in low energy effective field theory (EFT). Several arguments in favor of this statement were presented from…

High Energy Physics - Theory · Physics 2025-07-25 Anna Tokareva , Yongjun Xu

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 revisit the Scalar Weak Gravity Conjecture and investigate the possibility to impose that scalar interactions dominate over gravitational ones. More precisely, we look for consequences of assuming that, for leading scalar interactions,…

High Energy Physics - Theory · Physics 2021-02-03 Karim Benakli , Carlo Branchina , Gaëtan Lafforgue-Marmet

We propose a new version of the scalar Weak Gravity Conjecture (WGC) which would apply to any scalar field coupled to quantum gravity. For a single scalar it is given by the differential constraint $V''\leq…

High Energy Physics - Theory · Physics 2019-10-02 Eduardo Gonzalo , Luis E. Ibáñez

In this short note we clarify some aspects of the impact that the Weak Gravity Conjecture has on models of (generalized) natural inflation. We address in particular certain technical and conceptual concerns recently raised regarding the…

High Energy Physics - Theory · Physics 2016-05-04 Jon Brown , William Cottrell , Gary Shiu , Pablo Soler

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

In this note, we discuss the implications of the weak gravity conjecture (WGC) for general models of large-field inflation with a large number of axions $N$. We first show that, from the bottom-up perspective, such models admit a variety of…

High Energy Physics - Theory · Physics 2016-03-23 Daniel Junghans

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

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
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