Weak Gravity Conjecture, Black Hole Entropy, and Modular Invariance

Aalsma, Lars; Cole, Alex; Shiu, Gary

doi:10.1007/jhep08(2019)022

Title: Weak Gravity Conjecture, Black Hole Entropy, and Modular Invariance

Abstract

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 of extremal black holes to larger values. However, this mild form does not directly constrain low-energy physics because the black holes satisfying the WGC have masses above the cutoff of the effective theory. In this note, we point out that in string theory modular invariance can connect a light superextremal state to heavy superextremal states; the latter collapse into black holes at small string coupling. In the context of heterotic string theory, we show that these states are black holes that have α'-exact charge-to-mass ratios exceeding the classical extremality bound. This suggests that modular invariance of the string partition function can be used to relate the existence of a light superextremal particle to the positive shift in charge-to-mass ratio of extremal black holes.

Authors:

^[1]; Cole, Alex ^[2]; Shiu, Gary ^[2]

Univ. of Amsterdam (Netherlands)
Univ. of Wisconsin, Madison, WI (United States)

Publication Date:: Mon Aug 05 00:00:00 EDT 2019

Research Org.:: Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1612730

Grant/Contract Number:: SC0017647

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 8; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; Black Holes in String Theory; Effective Field Theories; Superstrings and Heterotic Strings

Citation Formats


                    Aalsma, Lars, Cole, Alex, and Shiu, Gary. Weak Gravity Conjecture, Black Hole Entropy, and Modular Invariance.  United States: N. p., 2019. 
Web.  doi:10.1007/jhep08(2019)022.

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                    Aalsma, Lars, Cole, Alex, & Shiu, Gary. Weak Gravity Conjecture, Black Hole Entropy, and Modular Invariance.  United States.  https://doi.org/10.1007/jhep08(2019)022

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                    Aalsma, Lars, Cole, Alex, and Shiu, Gary. Mon .  
"Weak Gravity Conjecture, Black Hole Entropy, and Modular Invariance".  United States.  https://doi.org/10.1007/jhep08(2019)022.  https://www.osti.gov/servlets/purl/1612730.

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@article{osti_1612730,

  title        = {Weak Gravity Conjecture, Black Hole Entropy, and Modular Invariance},

  author       = {Aalsma, Lars and Cole, Alex and Shiu, Gary},

  abstractNote = {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 of extremal black holes to larger values. However, this mild form does not directly constrain low-energy physics because the black holes satisfying the WGC have masses above the cutoff of the effective theory. In this note, we point out that in string theory modular invariance can connect a light superextremal state to heavy superextremal states; the latter collapse into black holes at small string coupling. In the context of heterotic string theory, we show that these states are black holes that have α'-exact charge-to-mass ratios exceeding the classical extremality bound. This suggests that modular invariance of the string partition function can be used to relate the existence of a light superextremal particle to the positive shift in charge-to-mass ratio of extremal black holes.},

  doi          = {10.1007/jhep08(2019)022},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 8,

  volume       = 2019,

  place        = {United States},

  year         = {Mon Aug 05 00:00:00 EDT 2019},

  month        = {Mon Aug 05 00:00:00 EDT 2019}

}

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Works referencing / citing this record:

D = 5 rotating black holes in Einstein-Gauss-Bonnet gravity: mass and angular momentum in extremality
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Ma, Liang; Li, Yue-Zhou; Lü, H.
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Title: Weak Gravity Conjecture, Black Hole Entropy, and Modular Invariance

Abstract

Citation Formats

Extremal Black Holes and Elementary String States journal, September 1995

Exact Counting of Supersymmetric Black Hole Microstates journal, June 2005

Tensionless strings and the weak gravity conjecture journal, October 2018

On the geometry of the string landscape and the swampland journal, March 2007

Non-renormalization of mass of some non-supersymmetric string states journal, June 1998

The Swampland: Introduction and Review journal, April 2019

Higher derivative corrections to Kerr black hole thermodynamics journal, April 2019

The black hole interpretation of string theory journal, April 1990

Microstates of non-supersymmetric black holes journal, June 1997

String theory in magnetic monopole backgrounds journal, June 1999

The fuzzball proposal for black holes journal, October 2008

Holographic gravitational anomalies journal, January 2006

Fundamental strings and higher derivative corrections to d-dimensional black holes journal, February 2010

A stringy test of the Scalar Weak Gravity Conjecture journal, January 2019

String Theory Effects on Five-Dimensional Black hole Physics journal, February 2008

Extremal black holes and elementary string states journal, March 1996

The string landscape, black holes and gravity as the weakest force journal, June 2007

Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes journal, April 1998

Evidence for a sublattice weak gravity conjecture journal, August 2017

Comments on the N = 2,3,4 superconformal algebras in two dimensions journal, January 1987

Microscopic black hole entropy in theories with higher derivatives journal, September 2005

Black hole entropy function, attractors and precision counting of microstates journal, April 2008

Transplanckian axions!? journal, August 2015

A Tower Weak Gravity Conjecture from Infrared Consistency journal, May 2018

Leading higher-derivative corrections to Kerr geometry journal, May 2019

Higher-order corrections to mass-charge relation of extremal black holes journal, December 2007

Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity journal, June 1986

The Weak Gravity Conjecture in three dimensions journal, October 2016

Weak Gravity Conjecture from Unitarity and Causality journal, July 2019

Constraints on axion inflation from the weak gravity conjecture journal, September 2015

Fencing in the swampland: quantum gravity constraints on large field inflation journal, October 2015

Entropy bounds on effective field theory from rotating dyonic black holes journal, August 2019

Universal bounds on charged states in 2d CFT and 3d gravity journal, August 2016

Stretching the horizon of a higher dimensional small black hole journal, July 2005

Beyond the near-horizon limit: stringy corrections to heterotic black holes journal, February 2019

Statistical entropy of BTZ black hole in higher curvature gravity journal, January 2000

A holographic derivation of the weak gravity conjecture journal, March 2019

Weak Gravity Conjecture and extremal black holes journal, June 2019

New supersymmetric higher-derivative couplings: full N = 2 superspace does not count! journal, January 2011

String Theory Effects on Five-Dimensional Black Hole Physics text, January 2008

Fundamental Strings and Higher Derivative Corrections to d-Dimensional Black Holes text, January 2009

Transplanckian axions !? text, January 2015

Evidence for a Lattice Weak Gravity Conjecture text, January 2016

A Tower Weak Gravity Conjecture from Infrared Consistency text, January 2018

Tensionless Strings and the Weak Gravity Conjecture text, January 2018

A Stringy Test of the Scalar Weak Gravity Conjecture text, January 2018

The Swampland: Introduction and Review text, January 2019

Microscopic Black Hole Entropy in Theories with Higher Derivatives text, January 2005

Holographic Gravitational Anomalies text, January 2005

Counting Schwarzschild and Charged Black Holes text, January 1996

Nonrenormalization of Mass of Some Nonsupersymmetric String States text, January 1997

String Theory in Magnetic Monopole Backgrounds text, January 1998

Counting Schwarzschild and charged black holes journal, May 1997

Fundamental Strings and Higher Derivative Corrections to d-Dimensional Black Holes text, January 2009

Evidence for a Lattice Weak Gravity Conjecture text, January 2016

A Tower Weak Gravity Conjecture from Infrared Consistency text, January 2018

D = 5 rotating black holes in Einstein-Gauss-Bonnet gravity: mass and angular momentum in extremality journal, January 2021

Thermodynamics of 4D dilatonic black holes and the weak gravity conjecture journal, August 2020

Extremal Black Holes and Elementary String States
journal, September 1995

Exact Counting of Supersymmetric Black Hole Microstates
journal, June 2005

Tensionless strings and the weak gravity conjecture
journal, October 2018

On the geometry of the string landscape and the swampland
journal, March 2007

Non-renormalization of mass of some non-supersymmetric string states
journal, June 1998

The Swampland: Introduction and Review
journal, April 2019

Higher derivative corrections to Kerr black hole thermodynamics
journal, April 2019

The black hole interpretation of string theory
journal, April 1990

Microstates of non-supersymmetric black holes
journal, June 1997

String theory in magnetic monopole backgrounds
journal, June 1999

The fuzzball proposal for black holes
journal, October 2008

Holographic gravitational anomalies
journal, January 2006

Fundamental strings and higher derivative corrections to d-dimensional black holes
journal, February 2010

A stringy test of the Scalar Weak Gravity Conjecture
journal, January 2019

String Theory Effects on Five-Dimensional Black hole Physics
journal, February 2008

Extremal black holes and elementary string states
journal, March 1996

The string landscape, black holes and gravity as the weakest force
journal, June 2007

Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes
journal, April 1998

Evidence for a sublattice weak gravity conjecture
journal, August 2017

Comments on the N = 2,3,4 superconformal algebras in two dimensions
journal, January 1987

Microscopic black hole entropy in theories with higher derivatives
journal, September 2005

Black hole entropy function, attractors and precision counting of microstates
journal, April 2008

Transplanckian axions!?
journal, August 2015

A Tower Weak Gravity Conjecture from Infrared Consistency
journal, May 2018

Leading higher-derivative corrections to Kerr geometry
journal, May 2019

Higher-order corrections to mass-charge relation of extremal black holes
journal, December 2007

Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
journal, June 1986

The Weak Gravity Conjecture in three dimensions
journal, October 2016

Weak Gravity Conjecture from Unitarity and Causality
journal, July 2019

Constraints on axion inflation from the weak gravity conjecture
journal, September 2015

Fencing in the swampland: quantum gravity constraints on large field inflation
journal, October 2015

Entropy bounds on effective field theory from rotating dyonic black holes
journal, August 2019

Universal bounds on charged states in 2d CFT and 3d gravity
journal, August 2016

Stretching the horizon of a higher dimensional small black hole
journal, July 2005

Beyond the near-horizon limit: stringy corrections to heterotic black holes
journal, February 2019

Statistical entropy of BTZ black hole in higher curvature gravity
journal, January 2000

A holographic derivation of the weak gravity conjecture
journal, March 2019

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journal, June 2019

New supersymmetric higher-derivative couplings: full N = 2 superspace does not count!
journal, January 2011

String Theory Effects on Five-Dimensional Black Hole Physics
text, January 2008

Fundamental Strings and Higher Derivative Corrections to d-Dimensional Black Holes
text, January 2009

Transplanckian axions !?
text, January 2015

Evidence for a Lattice Weak Gravity Conjecture
text, January 2016

A Tower Weak Gravity Conjecture from Infrared Consistency
text, January 2018

Tensionless Strings and the Weak Gravity Conjecture
text, January 2018

A Stringy Test of the Scalar Weak Gravity Conjecture
text, January 2018

The Swampland: Introduction and Review
text, January 2019

Microscopic Black Hole Entropy in Theories with Higher Derivatives
text, January 2005

Holographic Gravitational Anomalies
text, January 2005

Counting Schwarzschild and Charged Black Holes
text, January 1996

Nonrenormalization of Mass of Some Nonsupersymmetric String States
text, January 1997

String Theory in Magnetic Monopole Backgrounds
text, January 1998

Counting Schwarzschild and charged black holes
journal, May 1997

Fundamental Strings and Higher Derivative Corrections to d-Dimensional Black Holes
text, January 2009

Evidence for a Lattice Weak Gravity Conjecture
text, January 2016

A Tower Weak Gravity Conjecture from Infrared Consistency
text, January 2018

D = 5 rotating black holes in Einstein-Gauss-Bonnet gravity: mass and angular momentum in extremality
journal, January 2021

Thermodynamics of 4D dilatonic black holes and the weak gravity conjecture
journal, August 2020