A Semiclassical, Entropic Proof of a Weak Gravity Conjecture

Fisher, Zachary; Mogni, Christopher J.

doi:10.48550/arxiv.1706.08257

Cited by 13 publications

(20 citation statements)

References 29 publications

(87 reference statements)

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“…This logarithmic term places stringent constraints on any microscopic description of black hole entropy. Previous studies [31,32] also hint at a deep relationship between this logarithmic correction and the WGC, and we look forward to exploring this further.…”

Section: IVmentioning

confidence: 59%

The Weak Gravity Conjecture, RG Flows, and Supersymmetry

Charles

2019

Preprint

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We study one-loop divergences in Einstein-Maxwell theory and their implications for the weak gravity conjecture. In particular, we show that renormalization of these divergences leads to positivity of higher-derivative corrections to the charge-to-mass ratio of dyonic black holes. This allows charged extremal black holes to decay into smaller ones, and so the weak gravity conjecture is automatically satisfied. We also extend this analysis to a much wider class of Einstein-Maxwell theories coupled to additional massless matter fields and find the same result. We then go on to study one-loop divergences in N ≥ 2 supergravity and show that dyonic black holes in these theories are protected against one-loop quantum corrections, even if the black hole breaks supersymmetry. In particular, extremal dyonic black holes are stabilized by supersymmetry and cannot decay.

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Section: IVmentioning

confidence: 59%

The Weak Gravity Conjecture, RG Flows, and Supersymmetry

Charles

2019

Preprint

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“…In other recent studies [52,54], the WGC has also been evaluated in the context of black hole entropy using methodologies that differ substantially from our own. Both Ref.…”

Section: The Weak Gravity Conjecturementioning

confidence: 99%

“…[52] and Ref. [54] examine the leading logarithmic corrections to black hole entropy due to the quantum effects of light matter particles. Such effects are relevant for black holes of size parametrically smaller than the Compton wavelength of the matter.…”

Section: The Weak Gravity Conjecturementioning

confidence: 99%

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Proof of the weak gravity conjecture from black hole entropy

Cheung

Liu

Remmen

2018

J. High Energ. Phys.

182

271

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We prove that higher-dimension operators contribute positively to the entropy of a thermodynamically stable black hole at fixed mass and charge. Our results apply whenever the dominant corrections originate at tree level from quantum field theoretic dynamics. More generally, positivity of the entropy shift is equivalent to a certain inequality relating the free energies of black holes. These entropy inequalities mandate new positivity bounds on the coefficients of higher-dimension operators. One of these conditions implies that the chargeto-mass ratio of an extremal black hole asymptotes to unity from above for increasing mass. Consequently, large extremal black holes are unstable to decay to smaller extremal black holes and the weak gravity conjecture is automatically satisfied. Our findings generalize to arbitrary spacetime dimension and to the case of multiple gauge fields. The assumptions of this proof are valid across a range of scenarios, including string theory constructions with a dilaton stabilized below the string scale.

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“…This statement is supported by substantial circumstantial evidence and arguments related to black holes [6] (see also, e.g., Ref. [28][29][30][31][32][33][34][35][36][37]). The WGC implies that force mediated by a gauge boson (spin 1) is stronger than that mediated by the graviton (spin 2), namely…”

mentioning

confidence: 79%

Fundamental forces and scalar field dynamics in the early universe

et al. 2020

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Scalar weak gravity conjectures (SWGCs) attempt to pinpoint the ranges of couplings consistent with a fundamental theory of all interactions. We identify a generic dynamical consequence of these conjectures for cosmology and show that SWGCs imply a particular behavior of the scalar fields in the early universe. A scalar field that develops a large expectation value during inflation must relax to the minimum of effective potential at a later time. SWGCs imply that a homogeneous distribution of the field is unstable with respect to fragmentation into localized lumps. This fragmentation can result in formation of stable solitons or primordial black holes, which can account for all or part of the dark matter, and also lead to generation of potentially observable gravitational waves.

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A Semiclassical, Entropic Proof of a Weak Gravity Conjecture

Cited by 13 publications

References 29 publications

The Weak Gravity Conjecture, RG Flows, and Supersymmetry

The Weak Gravity Conjecture, RG Flows, and Supersymmetry

Proof of the weak gravity conjecture from black hole entropy

Fundamental forces and scalar field dynamics in the early universe

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