The Weak Gravity Conjecture in the Vilkovisky-DeWitt Effective Action of Quantum Gravity

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Hauptverfasser: Antonelli, Tommaso, Calmet, Xavier
Format: Preprint
Veröffentlicht: 2025
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author Antonelli, Tommaso
Calmet, Xavier
author_facet Antonelli, Tommaso
Calmet, Xavier
contents 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, we calculate quantum gravitational corrections to the charge-to-mass ratio of extremal Reissner-Nordström black holes, using the Vilkovisky-deWitt unique effective action approach, since this ratio provides a discriminant to select low-energy effective theories of quantum gravity that fulfill the conjecture. We find that depending on the values of the Wilson coefficients of the effective action, some UV complete theories will fulfill the conjecture, while others will not.
format Preprint
id arxiv_https___arxiv_org_abs_2503_09227
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Weak Gravity Conjecture in the Vilkovisky-DeWitt Effective Action of Quantum Gravity
Antonelli, Tommaso
Calmet, Xavier
High Energy Physics - Theory
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, we calculate quantum gravitational corrections to the charge-to-mass ratio of extremal Reissner-Nordström black holes, using the Vilkovisky-deWitt unique effective action approach, since this ratio provides a discriminant to select low-energy effective theories of quantum gravity that fulfill the conjecture. We find that depending on the values of the Wilson coefficients of the effective action, some UV complete theories will fulfill the conjecture, while others will not.
title The Weak Gravity Conjecture in the Vilkovisky-DeWitt Effective Action of Quantum Gravity
topic High Energy Physics - Theory
url https://arxiv.org/abs/2503.09227