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Title: Discrete gauge symmetries and the weak gravity conjecture

Abstract

In theories with discrete Abelian gauge groups, requiring that black holes be able to lose their charge as they evaporate leads to an upper bound on the product of a charged particle's mass and the cutoff scale above which the effective description of the theory breaks down. This suggests that a non-trivial version of the Weak Gravity Conjecture (WGC) may also apply to gauge symmetries that are discrete, despite there being no associated massless field, therefore pushing the conjecture beyond the slogan that `gravity is the weakest force'. Here, we take a step towards making this expectation more precise by studying ZN and Z$$N\atop{2}$$ gauge symmetries realised via theories of spontaneous symmetry breaking. We show that applying the WGC to a dual description of an Abelian Higgs model leads to constraints that allow us to saturate but not violate existing bounds on discrete symmetries based on black hole arguments. In this setting, considering the effect of discrete hair on black holes naturally identifies the cutoff of the effective theory with the scale of spontaneous symmetry breaking, and provides a mechanism through which discrete hair can be lost without modifying the gravitational sector. We explore the possible implications of these arguments for understanding the smallness of the weak scale compared to MPl.

Authors:
 [1];  [2];  [1]
  1. Univ. of California, Santa Barbara, CA (United States)
  2. Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics
Publication Date:
Research Org.:
Univ. of California, Santa Barbara, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); Gordon and Betty Moore Foundation; National Science Foundation (NSF)
OSTI Identifier:
1602218
Grant/Contract Number:  
SC0011702; SC0014129; GBMF7392; PHY-1748958
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 5; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Craig, Nathaniel, Garcia, Isabel Garcia, and Koren, Seth. Discrete gauge symmetries and the weak gravity conjecture. United States: N. p., 2019. Web. doi:10.1007/JHEP05(2019)140.
Craig, Nathaniel, Garcia, Isabel Garcia, & Koren, Seth. Discrete gauge symmetries and the weak gravity conjecture. United States. https://doi.org/10.1007/JHEP05(2019)140
Craig, Nathaniel, Garcia, Isabel Garcia, and Koren, Seth. Thu . "Discrete gauge symmetries and the weak gravity conjecture". United States. https://doi.org/10.1007/JHEP05(2019)140. https://www.osti.gov/servlets/purl/1602218.
@article{osti_1602218,
title = {Discrete gauge symmetries and the weak gravity conjecture},
author = {Craig, Nathaniel and Garcia, Isabel Garcia and Koren, Seth},
abstractNote = {In theories with discrete Abelian gauge groups, requiring that black holes be able to lose their charge as they evaporate leads to an upper bound on the product of a charged particle's mass and the cutoff scale above which the effective description of the theory breaks down. This suggests that a non-trivial version of the Weak Gravity Conjecture (WGC) may also apply to gauge symmetries that are discrete, despite there being no associated massless field, therefore pushing the conjecture beyond the slogan that `gravity is the weakest force'. Here, we take a step towards making this expectation more precise by studying ZN and Z$N\atop{2}$ gauge symmetries realised via theories of spontaneous symmetry breaking. We show that applying the WGC to a dual description of an Abelian Higgs model leads to constraints that allow us to saturate but not violate existing bounds on discrete symmetries based on black hole arguments. In this setting, considering the effect of discrete hair on black holes naturally identifies the cutoff of the effective theory with the scale of spontaneous symmetry breaking, and provides a mechanism through which discrete hair can be lost without modifying the gravitational sector. We explore the possible implications of these arguments for understanding the smallness of the weak scale compared to MPl.},
doi = {10.1007/JHEP05(2019)140},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2019,
place = {United States},
year = {Thu May 23 00:00:00 EDT 2019},
month = {Thu May 23 00:00:00 EDT 2019}
}

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