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Title: Higher-derivative corrections to entropy and the weak gravity conjecture in Anti-de Sitter space

Abstract

We compute the four-derivative corrections to the geometry, extremality bound, and thermodynamic quantities of AdS-Reissner-Nordström black holes for general dimensions and horizon geometries. We confirm the universal relationship between the extremality shift at fixed charge and the shift of the microcanonical entropy, and discuss the consequences of this relation for the Weak Gravity Conjecture in AdS. The thermodynamic corrections are calculated using two different methods: first by explicitly solving the higher-derivative equations of motion and second, by evaluating the higher-derivative Euclidean on-shell action on the leading-order solution. In both cases we find agreement, up to the addition of a Casimir energy in odd dimensions. We derive the bounds on the four-derivative Wilson coefficients implied by the conjectured positivity of the leading corrections to the microcanonical entropy of thermodynamically stable black holes. These include the requirement that the coefficient of Riemann-squared is positive, meaning that the positivity of the entropy shift is related to the condition that c – a is positive in the dual CFT. We discuss implications for the deviation of η/s from its universal value and a potential lower bound.

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [2];  [2]
+ Show Author Affiliations
  1. Lehigh Univ., Bethlehem, PA (United States)
  2. Univ. of Michigan, Ann Arbor, MI (United States)
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
OSTI Identifier:
1773101
Grant/Contract Number:  
SC0007859; PHY-1915038
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: 2020; Journal Issue: 9; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Cremonini, Sera, Jones, Callum R. T., Liu, James T., and McPeak, Brian. Higher-derivative corrections to entropy and the weak gravity conjecture in Anti-de Sitter space. United States: N. p., 2020. Web. doi:10.1007/jhep09(2020)003.
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Cremonini, Sera, Jones, Callum R. T., Liu, James T., & McPeak, Brian. Higher-derivative corrections to entropy and the weak gravity conjecture in Anti-de Sitter space. United States. https://doi.org/10.1007/jhep09(2020)003
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Cremonini, Sera, Jones, Callum R. T., Liu, James T., and McPeak, Brian. Tue . "Higher-derivative corrections to entropy and the weak gravity conjecture in Anti-de Sitter space". United States. https://doi.org/10.1007/jhep09(2020)003. https://www.osti.gov/servlets/purl/1773101.
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@article{osti_1773101,
title = {Higher-derivative corrections to entropy and the weak gravity conjecture in Anti-de Sitter space},
author = {Cremonini, Sera and Jones, Callum R. T. and Liu, James T. and McPeak, Brian},
abstractNote = {We compute the four-derivative corrections to the geometry, extremality bound, and thermodynamic quantities of AdS-Reissner-Nordström black holes for general dimensions and horizon geometries. We confirm the universal relationship between the extremality shift at fixed charge and the shift of the microcanonical entropy, and discuss the consequences of this relation for the Weak Gravity Conjecture in AdS. The thermodynamic corrections are calculated using two different methods: first by explicitly solving the higher-derivative equations of motion and second, by evaluating the higher-derivative Euclidean on-shell action on the leading-order solution. In both cases we find agreement, up to the addition of a Casimir energy in odd dimensions. We derive the bounds on the four-derivative Wilson coefficients implied by the conjectured positivity of the leading corrections to the microcanonical entropy of thermodynamically stable black holes. These include the requirement that the coefficient of Riemann-squared is positive, meaning that the positivity of the entropy shift is related to the condition that c – a is positive in the dual CFT. We discuss implications for the deviation of η/s from its universal value and a potential lower bound.},
doi = {10.1007/jhep09(2020)003},
journal = {Journal of High Energy Physics (Online)},
number = 9,
volume = 2020,
place = {United States},
year = {Tue Sep 01 00:00:00 EDT 2020},
month = {Tue Sep 01 00:00:00 EDT 2020}
}
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https://doi.org/10.1007/jhep09(2020)003
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Works referenced in this record:

Hamilton–Jacobi counterterms for Einstein–Gauss–Bonnet gravity
journal, July 2010

The Swampland: Introduction and Review
journal, April 2019

Proof of the weak gravity conjecture from black hole entropy
journal, October 2018

  • Cheung, Clifford; Liu, Junyu; Remmen, Grant N.
  • Journal of High Energy Physics, Vol. 2018, Issue 10
  • DOI: 10.1007/JHEP10(2018)004

Holography, thermodynamics, and fluctuations of charged AdS black holes
journal, October 1999

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

The Weak Gravity Conjecture in three dimensions
journal, October 2016

  • Montero, Miguel; Shiu, Gary; Soler, Pablo
  • Journal of High Energy Physics, Vol. 2016, Issue 10
  • DOI: 10.1007/JHEP10(2016)159

Testing the weak gravity-cosmic censorship connection
journal, March 2018

Breaking an Abelian gauge symmetry near a black hole horizon
journal, September 2008

Shear Viscosity of Strongly Coupled N = 4 Supersymmetric Yang-Mills Plasma
journal, August 2001

Small hairy black holes in AdS 5 × S 5
journal, November 2011

  • Bhattacharyya, Sayantani; Minwalla, Shiraz; Papadodimas, Kyriakos
  • Journal of High Energy Physics, Vol. 2011, Issue 11
  • DOI: 10.1007/JHEP11(2011)035

Universal conductivity and central charges
journal, September 2008

Building a Holographic Superconductor
journal, July 2008

Holographic superconductors
journal, December 2008

  • Hartnoll, Sean A.; Herzog, Christopher P.; Horowitz, Gary T.
  • Journal of High Energy Physics, Vol. 2008, Issue 12
  • DOI: 10.1088/1126-6708/2008/12/015

Weak Gravity Conjecture and extremal black holes
journal, June 2019

  • Cottrell, William; Shiu, Gary; Soler, Pablo
  • Science China Physics, Mechanics & Astronomy, Vol. 62, Issue 11
  • DOI: 10.1007/s11433-019-9406-2

Higher derivative corrections to R-charged black holes: boundary counterterms and the mass-charge relation
journal, March 2010

  • Cremonini, Sera; Liu, James T.; Szepietowski, Phillip
  • Journal of High Energy Physics, Vol. 2010, Issue 3
  • DOI: 10.1007/JHEP03(2010)042

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

A scalar field condensation instability of rotating Anti-de Sitter black holes
journal, November 2010

  • Dias, Óscar J. C.; Monteiro, Ricardo; Reall, Harvey S.
  • Journal of High Energy Physics, Vol. 2010, Issue 11
  • DOI: 10.1007/JHEP11(2010)036

Lecture notes on holographic renormalization
journal, November 2002

Universal Relation between Corrections to Entropy and Extremality
journal, March 2020

Wormholes, emergent gauge fields, and the weak gravity conjecture
journal, January 2016

On subleading contributions to the AdS/CFT trace anomaly
journal, September 1999

On the temperature dependence of the shear viscosity and holography
journal, August 2012

  • Cremonini, Sera; Gürsoy, Umut; Szepietowski, Phillip
  • Journal of High Energy Physics, Vol. 2012, Issue 8
  • DOI: 10.1007/JHEP08(2012)167

Conformal collider physics: energy and charge correlations
journal, May 2008

Weak Gravity Conjecture from Unitarity and Causality
journal, July 2019

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

  • Andriolo, Stefano; Junghans, Daniel; Noumi, Toshifumi
  • Fortschritte der Physik, Vol. 66, Issue 5
  • DOI: 10.1002/prop.201800020

Weak gravity conjecture in the AdS/CFT correspondence
journal, December 2015

Positivity of Curvature-Squared Corrections in Gravity
journal, February 2017

Generating temperature flow for η/s with higher derivatives: from Lifshitz to AdS
journal, February 2012

  • Cremonini, Sera; Szepietowski, Phillip
  • Journal of High Energy Physics, Vol. 2012, Issue 2
  • DOI: 10.1007/JHEP02(2012)038

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

Beyond η/ s = 1/4π
journal, March 2009

The black hole weak gravity conjecture with multiple charges
journal, June 2020

  • Jones, Callum R. T.; McPeak, Brian
  • Journal of High Energy Physics, Vol. 2020, Issue 6
  • DOI: 10.1007/JHEP06(2020)140

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

On the extremality bound of stringy black holes
journal, February 2020

  • Cano, Pablo A.; Ortín, Tomás; Ramírez, Pedro F.
  • Journal of High Energy Physics, Vol. 2020, Issue 2
  • DOI: 10.1007/JHEP02(2020)175

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

  • Reall, Harvey S.; Santos, Jorge E.
  • Journal of High Energy Physics, Vol. 2019, Issue 4
  • DOI: 10.1007/JHEP04(2019)021

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

Universality of the Shear Viscosity from Supergravity Duals
journal, August 2004

An AdS/EFT correspondence at large charge
journal, September 2018

Action integrals and partition functions in quantum gravity
journal, May 1977

Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
journal, January 2009

Further evidence for the weak gravity — cosmic censorship connection
journal, June 2019

  • Horowitz, Gary T.; Santos, Jorge E.
  • Journal of High Energy Physics, Vol. 2019, Issue 6
  • DOI: 10.1007/JHEP06(2019)122

Holographic hydrodynamics with a chemical potential
journal, June 2009

Role of Conformal Three-Geometry in the Dynamics of Gravitation
journal, April 1972

Landscape of superconducting membranes
journal, June 2009

The holographic Weyl anomaly
journal, July 1998

ON THE CONFORMAL ANOMALY FROM HIGHER DERIVATIVE GRAVITY IN AdS/CFT CORRESPONDENCE
journal, January 2000

  • Nojiri, Shin'Ichi; Odintsov, Sergei D.
  • International Journal of Modern Physics A, Vol. 15, Issue 03
  • DOI: 10.1142/S0217751X00000197

A Stress Tensor for Anti-de Sitter Gravity
journal, December 1999

  • Balasubramanian, Vijay; Kraus, Per
  • Communications in Mathematical Physics, Vol. 208, Issue 2
  • DOI: 10.1007/s002200050764

Naturalness and the Weak Gravity Conjecture
journal, July 2014

The Shear Viscosity to Entropy Ratio: a Status Report
journal, September 2011

Evidence for an electrifying violation of cosmic censorship
journal, September 2016

Duality between electric and magnetic black holes
journal, November 1995

Black hole entropy is the Noether charge
journal, October 1993

Thermodynamic Geometry and Critical Behavior of Black Holes
journal, January 2007

  • Shen, Jianyong; Cai, Rong-Gen; Wang, Bin
  • International Journal of Modern Physics A, Vol. 22, Issue 01
  • DOI: 10.1142/S0217751X07034064

α′ corrections of Reissner-Nordström black holes
journal, February 2020

  • Cano, Pablo A.; Chimento, Samuele; Linares, Román
  • Journal of High Energy Physics, Vol. 2020, Issue 2
  • DOI: 10.1007/JHEP02(2020)031
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