Proof of the weak gravity conjecture from black hole entropy

Cheung, Clifford; Liu, Junyu; Remmen, Grant N.

doi:10.1007/jhep10(2018)004

Cited by 182 publications

(317 citation statements)

References 58 publications

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“…A similar idea was also suggested in [6]. This line of reasoning was applied to the case of a single U (1) charge Q in [4], where higher-derivative corrections to the classical entropy and extremality bound were computed explicitly and found to obey…”

Section: Introductionmentioning

confidence: 79%

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Universal Relation between Corrections to Entropy and Extremality

Goon

Penco

2020

Phys. Rev. Lett.

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Perturbative corrections to General Relativity alter the expressions for both the entropy of black holes and their extremality bounds. We prove a universal relation between the leading corrections to these quantities. The derivation is purely thermodynamic and the result also applies beyond the realm of gravitational systems. In scenarios where the correction to the entropy is positive, our result proves that the perturbations decrease the mass of extremal black holes, when holding all other extensive variables fixed in the comparison. This implies that the extremality relations of a wide class of black holes display Weak Gravity Conjecture-like behavior.

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Section: Introductionmentioning

confidence: 79%

“…This statement is the generalization of having an increased Q/M ratio in the case of multiple non-trivial quantum numbers. Hence, if the ∆S > 0 conjecture of [4] is correct, (3) proves that the extremality curves of a wide class of black hole systems display WGC-like behavior.…”

Section: Introductionmentioning

confidence: 94%

Universal Relation between Corrections to Entropy and Extremality

Goon

Penco

2020

Phys. Rev. Lett.

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“…We have found that the entropy shift is always positive for this family of solutions. In previous works in the literature, it has been claimed that the positivity of the corrections to the entropy imply a positive correction to the charge-to-mass ratio at extremality [31][32][33]. On the contrary, this claim has been disputed by the counterexample presented in Ref.…”

Section: Discussionmentioning

confidence: 97%

“…Thus, not all the solutions of the Einstein-Maxwell theory can be embedded in the Heterotic Superstring effective action because unequal electric and magnetic charges always generate a non-trivial scalar field. quantum black hole physics is currently attracting much attention [19,34,35,31,36,37,32,20,33,38]. A recurrent assumption in these explorations is that no additional degrees of freedom are activated at higher orders.…”

Section: Discussionmentioning

confidence: 99%

α′ corrections of Reissner-Nordström black holes

Cano

Chimento

Linares

et al. 2020

J. High Energ. Phys.

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We study the first-order in α corrections to non-extremal 4-dimensional dyonic Reissner-Nordström (RN) black holes with equal electric and magnetic charges in the context of Heterotic Superstring effective field theory (HST) compactified on a T 6 . The particular embedding of the dyonic RN black hole in HST considered here is not supersymmetric in the extremal limit. We show that, at first order in α , consistency with the equations of motion of the HST demands additional scalar and vector fields become active, and we provide explicit expressions for all of them. We determine analytically the position of the event horizon of the black hole, as well as the corrections to the extremality bound, to the temperature and to the entropy, checking that they are related by the first law of black-hole thermodynamics, so that ∂S/∂M = 1/T. We discuss the implications of our results in the context of the Weak Gravity Conjecture, clarifying that entropy corrections for fixed mass and charge at extremality do not necessarily imply corrections to the extremal chargeto-mass ratio. a pabloantonio.cano[at]kuleuven.be

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“…The difference with the results in Refs. [21][22][23] can be understood if one takes into account two facts. First of all, topological terms such as the Gauss-Bonnet invariant -which implicitly appears in the heterotic string effective action -modify the black hole entropy while keeping the solution unchanged.…”

Section: Discussionmentioning

confidence: 99%

On the extremality bound of stringy black holes

Cano

Ortı́n

Ramírez

2020

J. High Energ. Phys.

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A mild version of the weak gravity conjecture (WGC) states that extremal black holes have charge-to-mass ratio larger or equal than one when higher-curvature interactions are taken into account. Since these corrections become more relevant in the low-mass regime, this would allow the decay of extremal black holes in terms of energy and charge conservation. Evidence in this direction has been mainly given in the context of corrections to Einstein-Maxwell theory. Here we compute corrections to the charge-to-mass ratio of some dyonic extremal black holes explicitly embedded in the heterotic string effective theory. We find that modifications of the extremality bound depend on the solution considered, with the chargeto-mass ratio remaining unchanged or deviating positively from one. Additionally, we observe that the introduction of the higher-curvature terms increases the Wald entropy in all cases considered, whose variation does not seem to be correlated with the charge-to-mass ratio, contrary to the situation in Einstein-Maxwell theory.

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Proof of the weak gravity conjecture from black hole entropy

Cited by 182 publications

References 58 publications

Universal Relation between Corrections to Entropy and Extremality

Universal Relation between Corrections to Entropy and Extremality

α′ corrections of Reissner-Nordström black holes

On the extremality bound of stringy black holes

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