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We derive new bounds on higher-dimension operator coefficients in four-dimensional Einstein-Maxwell theory. Positivity of classically-generated corrections to the Wald entropy of thermodynamically stable, rotating dyonic black holes implies…

High Energy Physics - Theory · Physics 2019-08-06 Clifford Cheung , Junyu Liu , Grant N. Remmen

We study the effect of higher-derivative corrections on asymptotically flat, four-dimensional, non-rotating dyonic black holes in low-energy models of gravity coupled to $N$ $U(1)$ gauge fields. For large extremal black holes, the leading…

High Energy Physics - Theory · Physics 2020-07-15 Callum R. T. Jones , Brian McPeak

The mild form of the Weak Gravity Conjecture states that quantum or higher-derivative corrections should decrease the mass of large extremal charged black holes at fixed charge. This allows extremal black holes to decay, unless protected by…

High Energy Physics - Theory · Physics 2021-04-27 Lars Aalsma , Alex Cole , Gregory J. Loges , Gary Shiu

In recent literature, it has been argued that a mild form of the Weak Gravity Conjecture (WGC) is satisfied by wide classes of effective field theories in which higher-derivative corrections can be shown to shift the charge-to-mass ratios…

High Energy Physics - Theory · Physics 2019-09-06 Lars Aalsma , Alex Cole , Gary Shiu

The weak gravity conjecture states that quantum gravity theories have to contain a charged state with a charge-to-mass ratio bigger than unity. By studying unitarity and causality constraints on higher derivative corrections to the…

High Energy Physics - Theory · Physics 2019-08-07 Yuta Hamada , Toshifumi Noumi , Gary Shiu

We present a semiclassical proof of the weak gravity conjecture in $D = 4$ spacetime dimensions for scalar matter gauged under a $U(1)^N$ gauge group. We compute the non-perturbative macroscopic entropy of a scalar field in an extremal…

High Energy Physics - Theory · Physics 2017-10-18 Zachary Fisher , Christopher J. Mogni

The weak gravity conjecture implies the necessary existence of particles with charge-to-mass ratio $q/m \geq 1$ so that the extremal charged black hole can completely evaporate without leaving a dangerous stable extremal remnant while…

General Relativity and Quantum Cosmology · Physics 2020-09-15 Rance Solomon , Dejan Stojkovic

We consider the shift of charge-to-mass ratio for extremal black holes in the context of effective field theory, motivated by the Weak Gravity Conjecture. We constrain extremality corrections in different regimes subject to unitarity and…

High Energy Physics - Theory · Physics 2022-03-17 Nima Arkani-Hamed , Yu-tin Huang , Jin-Yu Liu , Grant N. Remmen

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…

High Energy Physics - Theory · Physics 2020-03-18 Pablo A. Cano , Tomas Ortin , Pedro F. Ramirez

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…

High Energy Physics - Theory · Physics 2020-03-18 Garrett Goon , Riccardo Penco

In a gravitational theory with a massless photon the maximum charge-to-mass ratio of black holes approaches the prediction of the Einstein-Maxwell theory as black hole mass increases: $Q_{\rm ext}/M =1+ \alpha/M^2$ for some constant…

High Energy Physics - Theory · Physics 2019-07-09 Mehrdad Mirbabayi

In effective field theory, the positivity bounds of higher derivative operators are derived from analyticity, causality, and unitarity. We show that the positivity bounds on some operators of the effective field theory, e.g.,…

High Energy Physics - Theory · Physics 2023-08-02 Qing-Hong Cao , Daiki Ueda

A series of corrections to general relativity have recently been applied to find the relationship between entropy and extremality-bound black holes. This relationship has been investigated for many black holes, such as charged AdS,…

General Relativity and Quantum Cosmology · Physics 2022-08-03 Jafar Sadeghi , Saeed Noori Gashti , Izzet Sakalli , Behnam Pourhassan

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…

High Energy Physics - Theory · Physics 2019-06-20 Anthony M. Charles

We report for the first time that in heterotic string compactified on 4-torus or equivalently IIA string compactified on K3, the leading $\alpha'$ corrections to the rotating black string entropy at fixed conserved charges can be negative.…

High Energy Physics - Theory · Physics 2023-11-20 Liang Ma , Yi Pang , H. Lu

In this paper, we investigate the quantum gravitational corrections to the thermodynamical quantities of Reissner-Nordstr\"om black holes within the framework of effective field theory. The effective action originates from integrating out…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Yong Xiao , Qiang Wang , Aonan Zhang

The initial idea underlying the Weak Gravity Conjecture is that extremal black holes must always be "unstable", in the sense that they should slowly decay by emitting either particles or smaller black holes. Here we show that, when this…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Brett McInnes

The quantum corrections to black hole entropy, variously defined, suffer quadratic divergences reminiscent of the ones found in the renormalization of the gravitational coupling constant (Newton constant). We consider the suggestion, due to…

High Energy Physics - Theory · Physics 2009-10-28 Finn Larsen , Frank Wilczek

The Euclidean action and entropy are computed in string-generated gravity models with quadratic curvatures, and used to argue that a negative mass extremal metric is the background for hyperbolic (k=-1) black hole spacetimes, k being the…

High Energy Physics - Theory · Physics 2009-11-07 Ishwaree P. Neupane

Motivated by the desire to improve our understanding of the Weak Gravity Conjecture, we compute the one-loop correction of charged particles to the geometry and entropy of extremal black holes in 4d. We find that fermion loops provide…

High Energy Physics - Theory · Physics 2017-06-30 William Cottrell , Gary Shiu , Pablo Soler
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