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Title: Duality and supersymmetry constraints on the weak gravity conjecture

Abstract

Positivity bounds coming from consistency of UV scattering amplitudes are not always sufficient to prove the weak gravity conjecture for theories beyond Einstein-Maxwell. Additional ingredients about the UV may be necessary to exclude those regions of parameter space which are naïvely in conflict with the predictions of the weak gravity conjecture. In this paper we explore the consequences of imposing additional symmetries inherited from the UV theory on higher-derivative operators for Einstein-Maxwell-dilaton-axion theory. Using black hole thermodynamics, for a preserved SL(2, $$\mathbb{R}$$) symmetry we find that the weak gravity conjecture then does follow from positivity bounds. For a preserved O(d, d; $$\mathbb{R}$$) symmetry we find a simple condition on the two Wilson coefficients which ensures the positivity of corrections to the charge-to-mass ratio and that follows from the null energy condition alone. We find that imposing supersymmetry on top of either of these symmetries gives corrections which vanish identically, as expected for BPS states.

Authors:
ORCiD logo [1];  [2];  [1]
+ Show Author Affiliations
  1. Univ. of Wisconsin, Madison, WI (United States)
  2. Kobe Univ. (Japan)
Publication Date:
Research Org.:
Univ. of Wisconsin, Madison, WI (United States)
Sponsoring Org.:
USDOE Office of Science (SC); Kellett Award of the University of Wisconsin; Japan Society for the Promotion of Science (JSPS); National Science Foundation (NSF)
OSTI Identifier:
1852390
Grant/Contract Number:  
SC0017647; JP17H02894; JP20H01902; 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: 2020; Journal Issue: 11; Journal ID: ISSN 1029-8479
Publisher:
Springer Nature
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; black holes; black holes in string theory; string duality; supersymmetry and duality

Citation Formats

Loges, Gregory J., Noumi, Toshifumi, and Shiu, Gary. Duality and supersymmetry constraints on the weak gravity conjecture. United States: N. p., 2020. Web. doi:10.1007/jhep11(2020)008.
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Loges, Gregory J., Noumi, Toshifumi, & Shiu, Gary. Duality and supersymmetry constraints on the weak gravity conjecture. United States. https://doi.org/10.1007/jhep11(2020)008
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Loges, Gregory J., Noumi, Toshifumi, and Shiu, Gary. Wed . "Duality and supersymmetry constraints on the weak gravity conjecture". United States. https://doi.org/10.1007/jhep11(2020)008. https://www.osti.gov/servlets/purl/1852390.
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@article{osti_1852390,
title = {Duality and supersymmetry constraints on the weak gravity conjecture},
author = {Loges, Gregory J. and Noumi, Toshifumi and Shiu, Gary},
abstractNote = {Positivity bounds coming from consistency of UV scattering amplitudes are not always sufficient to prove the weak gravity conjecture for theories beyond Einstein-Maxwell. Additional ingredients about the UV may be necessary to exclude those regions of parameter space which are naïvely in conflict with the predictions of the weak gravity conjecture. In this paper we explore the consequences of imposing additional symmetries inherited from the UV theory on higher-derivative operators for Einstein-Maxwell-dilaton-axion theory. Using black hole thermodynamics, for a preserved SL(2, $\mathbb{R}$) symmetry we find that the weak gravity conjecture then does follow from positivity bounds. For a preserved O(d, d; $\mathbb{R}$) symmetry we find a simple condition on the two Wilson coefficients which ensures the positivity of corrections to the charge-to-mass ratio and that follows from the null energy condition alone. We find that imposing supersymmetry on top of either of these symmetries gives corrections which vanish identically, as expected for BPS states.},
doi = {10.1007/jhep11(2020)008},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2020,
place = {United States},
year = {Wed Nov 04 00:00:00 EST 2020},
month = {Wed Nov 04 00:00:00 EST 2020}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1007/jhep11(2020)008
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