Built on

O. B. Zaslavsky, “Geometry of nonextreme black holes near the extreme state,” Phys. Rev
1999
Earlier work this paper cites.
J. M. Maldacena, J. Michelson, and A. Strominger, “Anti-de Sitter fragmentation,” JHEP
1999
Earlier work this paper cites.
D. V. Vassilevich, “Heat kernel expansion: User’s manual,” Phys.Rept
2003
Earlier work this paper cites.
B. Pioline and J. Troost, “Schwinger pair production in AdS(2),” JHEP
2005
Earlier work this paper cites.
T. Banks, M. Johnson, and A. Shomer, “A Note on Gauge Theories Coupled to Gravity,” JHEP
2006
Earlier work this paper cites.
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis, and R. Rattazzi, “Causality, analyticity and an IR obstruction to UV completion,” JHEP
2006
Earlier work this paper cites.
N. Arkani-Hamed, L. Motl, A. Nicolis, and C. Vafa, “The string landscape, black holes and gravity as the weakest force,” JHEP
2007
Earlier work this paper cites.
H. Casini, “Relative entropy and the Bekenstein bound,” Class.Quant.Grav
Original
2008
Earlier work this paper cites.
A. Sen, “Quantum Entropy Function from AdS(2)/CFT(1) Correspondence,” Int. J. Mod. Phys
Original
2009
Earlier work this paper cites.

Similar

S. Banerjee, R. K. Gupta, I. Mandal, and A. Sen, “Logarithmic Corrections to N=4 and N=8 Black Hole Entropy: A One Loop Test of Quantum Gravity,” JHEP
Original
2011
Cited alongside, same era.
S. Banerjee, R. K. Gupta, and A. Sen, “Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function,” JHEP
Original
2011
Cited alongside, same era.
S. N. Solodukhin, “Entanglement entropy of black holes,” Living Rev.Rel
Original
2011
Cited alongside, same era.
S. Bhattacharyya, B. Panda, and A. Sen, “Heat Kernel Expansion and Extremal Kerr-Newmann Black Hole Entropy in Einstein-Maxwell Theory,” JHEP
Original
2012
Cited alongside, same era.
A. Sen, “Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates,” Gen. Rel. Grav

Then

R. Bousso, H. Casini, Z. Fisher, and J. Maldacena, “Proof of a Quantum Bousso Bound,” Phys.Rev
Original
2014
Later among the works it cites.
Cambridge University Press, 2014
M. D. Schwartz, Quantum Field Theory and the Standard Model · 2014
Later among the works it cites.
B. Heidenreich, M. Reece, and T. Rudelius, “Weak Gravity Strongly Constrains Large-Field Axion Inflation,” JHEP
Original
2015
Later among the works it cites.
R. Bousso, H. Casini, Z. Fisher, and J. Maldacena, “Entropy on a null surface for interacting quantum field theories and the Bousso bound,” Phys.Rev
Original
2015
Later among the works it cites.
D. Harlow, “Wormholes, Emergent Gauge Fields, and the Weak Gravity Conjecture,” JHEP
Original
2016

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2017

A Semiclassical, Entropic Proof of a Weak Gravity Conjecture

Fisher, Zachary, Mogni, Christopher J.

Understand

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 black hole background at the level of linearized backreaction on the metric.
The scalar field is assumed to violate or saturate the weak gravity conjecture.
The scalar contributes a logarithmic correction to the entropy in the black hole geometry that outgrows the classical contribution.

Built on

O. B. Zaslavsky, “Geometry of nonextreme black holes near the extreme state,” Phys. Rev
1999
Earlier work this paper cites.
J. M. Maldacena, J. Michelson, and A. Strominger, “Anti-de Sitter fragmentation,” JHEP
1999
Earlier work this paper cites.
D. V. Vassilevich, “Heat kernel expansion: User’s manual,” Phys.Rept
2003
Earlier work this paper cites.
B. Pioline and J. Troost, “Schwinger pair production in AdS(2),” JHEP
2005
Earlier work this paper cites.
T. Banks, M. Johnson, and A. Shomer, “A Note on Gauge Theories Coupled to Gravity,” JHEP
2006
Earlier work this paper cites.
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis, and R. Rattazzi, “Causality, analyticity and an IR obstruction to UV completion,” JHEP
2006
Earlier work this paper cites.
N. Arkani-Hamed, L. Motl, A. Nicolis, and C. Vafa, “The string landscape, black holes and gravity as the weakest force,” JHEP
2007
Earlier work this paper cites.
H. Casini, “Relative entropy and the Bekenstein bound,” Class.Quant.Grav
Original
2008
Earlier work this paper cites.
A. Sen, “Quantum Entropy Function from AdS(2)/CFT(1) Correspondence,” Int. J. Mod. Phys
Original
2009
Earlier work this paper cites.