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 coupling at an ultraviolet scale well below the Planck scale. This tower can consist of low-spin state...

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Autores principales: Ben Heidenreich, Matthew Reece, Tom Rudelius
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Publicado: SpringerOpen 2021
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spelling oai:doaj.org-article:fb9a069285dc4c9aa05ea90b84c95b802021-11-08T11:16:21ZThe Weak Gravity Conjecture and axion strings10.1007/JHEP11(2021)0041029-8479https://doaj.org/article/fb9a069285dc4c9aa05ea90b84c95b802021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)004https://doaj.org/toc/1029-8479Abstract 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 coupling at an ultraviolet scale well below the Planck scale. This tower can consist of low-spin states, as in Kaluza-Klein theory, or high-spin states, as with weakly-coupled strings. We provide a suggestive bottom-up argument based on the mild p-form WGC that, for any gauge theory coupled to a fundamental axion through a θF ∧ F term, the tower is a stringy one. The charge-carrying string states at or below the WGC scale gM Pl are simply axion strings for θ, with charged modes arising from anomaly inflow. Kaluza-Klein theories evade this conclusion and postpone the appearance of high-spin states to higher energies because they lack a θF ∧ F term. For abelian Kaluza-Klein theories, modified arguments based on additional abelian groups that interact with the Kaluza-Klein gauge group sometimes pinpoint a mass scale for charged strings. These arguments reinforce the Emergent String and Distant Axionic String Conjectures. We emphasize the unproven assumptions and weak points of the arguments, which provide interesting targets for further work. In particular, a sharp characterization of when gauge fields admit θF ∧ F couplings and when they do not would be immensely useful for particle phenomenology and for clarifying the implications of the Weak Gravity Conjecture.Ben HeidenreichMatthew ReeceTom RudeliusSpringerOpenarticleEffective Field TheoriesGauge SymmetryModels of Quantum GravityString theory and cosmic stringsNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-24 (2021)
institution DOAJ
collection DOAJ
language EN
topic Effective Field Theories
Gauge Symmetry
Models of Quantum Gravity
String theory and cosmic strings
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
spellingShingle Effective Field Theories
Gauge Symmetry
Models of Quantum Gravity
String theory and cosmic strings
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
Ben Heidenreich
Matthew Reece
Tom Rudelius
The Weak Gravity Conjecture and axion strings
description 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 coupling at an ultraviolet scale well below the Planck scale. This tower can consist of low-spin states, as in Kaluza-Klein theory, or high-spin states, as with weakly-coupled strings. We provide a suggestive bottom-up argument based on the mild p-form WGC that, for any gauge theory coupled to a fundamental axion through a θF ∧ F term, the tower is a stringy one. The charge-carrying string states at or below the WGC scale gM Pl are simply axion strings for θ, with charged modes arising from anomaly inflow. Kaluza-Klein theories evade this conclusion and postpone the appearance of high-spin states to higher energies because they lack a θF ∧ F term. For abelian Kaluza-Klein theories, modified arguments based on additional abelian groups that interact with the Kaluza-Klein gauge group sometimes pinpoint a mass scale for charged strings. These arguments reinforce the Emergent String and Distant Axionic String Conjectures. We emphasize the unproven assumptions and weak points of the arguments, which provide interesting targets for further work. In particular, a sharp characterization of when gauge fields admit θF ∧ F couplings and when they do not would be immensely useful for particle phenomenology and for clarifying the implications of the Weak Gravity Conjecture.
format article
author Ben Heidenreich
Matthew Reece
Tom Rudelius
author_facet Ben Heidenreich
Matthew Reece
Tom Rudelius
author_sort Ben Heidenreich
title The Weak Gravity Conjecture and axion strings
title_short The Weak Gravity Conjecture and axion strings
title_full The Weak Gravity Conjecture and axion strings
title_fullStr The Weak Gravity Conjecture and axion strings
title_full_unstemmed The Weak Gravity Conjecture and axion strings
title_sort weak gravity conjecture and axion strings
publisher SpringerOpen
publishDate 2021
url https://doaj.org/article/fb9a069285dc4c9aa05ea90b84c95b80
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