The Weak Gravity Conjecture, RG Flows, and Supersymmetry

Charles, Anthony M.

doi:10.48550/arxiv.1906.07734

Cited by 27 publications

(45 citation statements)

References 33 publications

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“…in cases where a small change to the solution has a major effect on the associated physics. One example of such a situation is in the context of the Weak Gravity Conjecture (WGC) [1,2], which has been studied extensively in recent years [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. According to the WGC, gravitational EFTs which may be UV completed into a consistent quantum theory of gravity must have states with charge greater than mass, i.e.…”

Section: Jhep03(2022)013mentioning

confidence: 99%

Repulsive black holes and higher-derivatives

Cremonini

Jones

Liu

et al. 2022

J. High Energ. Phys.

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In two-derivative theories of gravity coupled to matter, charged black holes are self-attractive at large distances, with the force vanishing at zero temperature. However, in the presence of massless scalar fields and four-derivative corrections, zero-temperature black holes no longer need to obey the no-force condition. In this paper, we show how to calculate the long-range force between such black holes. We develop an efficient method for computing the higher-derivative corrections to the scalar charges when the theory has a shift symmetry, and compute the resulting force in a variety of examples. We find that higher-derivative corrected black holes may be self-attractive or self-repulsive, depending on the value of the Wilson coefficients and the VEVs of scalar moduli. Indeed, we find black hole solutions which are both superextremal and self-attractive. Furthermore, we present examples where no choice of higher-derivative coefficients allows for self-repulsive black hole states in all directions in charge space. This suggests that, unlike the Weak Gravity Conjecture, which may be satisfied by the black hole spectrum alone, the Repulsive Force Conjecture requires additional constraints on the spectrum of charged particles.

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Section: Jhep03(2022)013mentioning

confidence: 99%

Repulsive black holes and higher-derivatives

Cremonini

Jones

Liu

et al. 2022

J. High Energ. Phys.

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show abstract

“…the RN black holes, and WGC implies that the higher derivative terms should contribute positively to the charge-to-mass ratio of extremal RN black holes, i.e., for fixed charges, the higher derivative corrections to the mass shift is negative. Thus the structure of the higher derivative terms cannot be arbitrary [7][8][9][10][11][12][13]. Recently, it was also argued that for Einstein-Maxwell theories, the increase of charge-to-mass ratio for extremal RN black holes is related to the positivity of higher derivative corrections to the entropy [8,9].…”

Section: Introductionmentioning

confidence: 99%

$α'$-corrections to Near Extremal Dyonic Strings and Weak Gravity Conjecture

Ma,

Pang,

Lü

2021

Preprint

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We construct non-extremal dyonic string solutions in 6D minimal supergravity where the leading higher derivative corrections arise from either the type IIA string theory compactified on K3 or the heterotic string theory compactified on 4-torus. The thermodynamical quantities and Euclidean actions of the strings are computed. In the near extremal regime, we calculate the force felt by a probe fundamental string in the background of the macroscopic dyonic string with leading α ′ corrections. We find that in both the IIA and heterotic setups, away from extremality, the attractive force overwhelms the repulsive force. However, close to extremality, the α ′ corrections can reduce the attractive force in the isoentropic process, where the charges are fixed. This feature may be used as a new constraint for supergravity models with consistent quantum gravity embedding, in cases where the extremal limit coincides with the BPS limit and the higher derivative corrections do not affect the mass-to-charge ratio. By contrast, the α ′ corrections can enhance the attractive force in the isothermal or isoenergetic processes.

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“…Depending on the sign of the Wilson coefficients multiplying the higherderivative corrections, this allows extremal black holes to have a charge-to-mass ratio that exceeds the one in the uncorrected theory, thereby satisfying the WGC. This mild form of the WGC has been studied for many different black hole solutions [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] and it has been demonstrated that, at least under some assumptions about the UV theory from which the higher-derivative corrections originate, unitarity and causality constrain the signs to * laalsma@wisc.edu be compatible with the WGC [6,9,19]. Additionally, in particular cases the mild form and particle form of the WGC can be shown to be intimately connected [21].…”

Section: Introductionmentioning

confidence: 99%

Corrections to Extremal Black Holes from Iyer-Wald Formalism

Aalsma

2021

Preprint

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We present a general method of computing corrections to the extremality bound and entropy of Kerr-Newman black holes due to an arbitrary perturbation using the Iyer-Wald formalism. In this method, corrections to the extremality bound are given by an integral over an effective stress tensor which, in particular cases of interest, reduces to the usual stress tensor. This clarifies the relation between extremality corrections and energy conditions. In particular, we show that a necessary condition to decrease the mass of an extremal black hole in a canonical ensemble, as required by the Weak Gravity Conjecture, is a violation of the Dominant Energy Condition. As an application of our method, we compute higher-derivative corrections to charged black holes in AdS and Kerr black holes.

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The Weak Gravity Conjecture, RG Flows, and Supersymmetry

Cited by 27 publications

References 33 publications

Repulsive black holes and higher-derivatives

Repulsive black holes and higher-derivatives

$α'$-corrections to Near Extremal Dyonic Strings and Weak Gravity Conjecture

Corrections to Extremal Black Holes from Iyer-Wald Formalism

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