Weak gravity conjecture in the AdS/CFT correspondence

Nakayama, Yu; Nomura, Yasunori

doi:10.1103/PhysRevD.92.126006

Title: Weak gravity conjecture in the AdS/CFT correspondence

Abstract

Here, we study implications of the weak gravity conjecture in the AdS/CFT correspondence. Unlike in Minkowski spacetime, Anti-de Sitter (AdS) spacetime has a physical length scale, so that the conjecture must be generalized with an additional parameter. We discuss possible generalizations and translate them into the language of dual conformal field theories (CFTs), which take the form of inequalities involving the dimension and charge of an operator as well as the current and energy-momentum tensor central charges. We then test these inequalities against various CFTs to see if they are universally obeyed by all the CFTs. Additionally, we find that certain CFTs, such as supersymmetric QCDs, do not satisfy them even in the large N limit. This does not contradict the conjecture in AdS spacetime because the theories violating them are either unlikely or unclear to have weakly coupled gravitational descriptions, but it suggests that the CFT inequalities obtained here by naive translations do not apply beyond the regime in which weakly coupled gravitational descriptions are available.

Authors:

Nakayama, Yu ^[1]; Nomura, Yasunori ^[2]

California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics; Univ. of Tokyo (Japan). Kavli Inst. for the Physics and Mathematics of the Universe (WPI)
Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Publication Date:: Mon Dec 14 00:00:00 EST 2015

Research Org.:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)

OSTI Identifier:: 1598797

Alternate Identifier(s):: OSTI ID: 1229587

Grant/Contract Number:: SC0011632; AC02-05CH11231; PHY-1214644; PHY-1521446; 15H05895

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. D, Particles, Fields, Gravitation and Cosmology

Additional Journal Information:: Journal Volume: 92; Journal Issue: 12; Journal ID: ISSN 1550-7998

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Nakayama, Yu, and Nomura, Yasunori. Weak gravity conjecture in the AdS/CFT correspondence.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevD.92.126006.

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                    Nakayama, Yu, & Nomura, Yasunori. Weak gravity conjecture in the AdS/CFT correspondence.  United States.  https://doi.org/10.1103/PhysRevD.92.126006

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                    Nakayama, Yu, and Nomura, Yasunori. Mon .  
"Weak gravity conjecture in the AdS/CFT correspondence".  United States.  https://doi.org/10.1103/PhysRevD.92.126006.  https://www.osti.gov/servlets/purl/1598797.

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@article{osti_1598797,

  title        = {Weak gravity conjecture in the AdS/CFT correspondence},

  author       = {Nakayama, Yu and Nomura, Yasunori},

  abstractNote = {Here, we study implications of the weak gravity conjecture in the AdS/CFT correspondence. Unlike in Minkowski spacetime, Anti-de Sitter (AdS) spacetime has a physical length scale, so that the conjecture must be generalized with an additional parameter. We discuss possible generalizations and translate them into the language of dual conformal field theories (CFTs), which take the form of inequalities involving the dimension and charge of an operator as well as the current and energy-momentum tensor central charges. We then test these inequalities against various CFTs to see if they are universally obeyed by all the CFTs. Additionally, we find that certain CFTs, such as supersymmetric QCDs, do not satisfy them even in the large N limit. This does not contradict the conjecture in AdS spacetime because the theories violating them are either unlikely or unclear to have weakly coupled gravitational descriptions, but it suggests that the CFT inequalities obtained here by naive translations do not apply beyond the regime in which weakly coupled gravitational descriptions are available.},

  doi          = {10.1103/PhysRevD.92.126006},

  journal      = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},

  number       = 12,

  volume       = 92,

  place        = {United States},

  year         = {Mon Dec 14 00:00:00 EST 2015},

  month        = {Mon Dec 14 00:00:00 EST 2015}

}

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Works referencing / citing this record:

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

Weak Gravity Conjecture and Extremal Black Holes
preprint, January 2016

Cottrell, William; Shiu, Gary; Soler, Pablo
arXiv
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Title: Weak gravity conjecture in the AdS/CFT correspondence

Abstract

Citation Formats

A supersymmetric consistent truncation for conifold solutions journal, February 2011

Consistent supersymmetric Kaluza-Klein truncations with massive modes journal, April 2009

Weak gravity conjecture in the asymptotical dS and AdS background journal, October 2006

Current correlators and AdS/CFT geometry journal, January 2006

Bootstrapping the O(N ) vector models journal, June 2014

Gauge theory correlators from non-critical string theory journal, May 1998

A universal inequality for CFT and quantum gravity journal, August 2011

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

Universal conductivity and central charges journal, September 2008

Convexity and liberation at large spin journal, November 2013

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

Sasaki-Einstein Metrics on S^2\times S^3 journal, January 2004

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

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

The large $N$ limit of superconformal field theories and supergravity journal, January 1998

Infrared consistency and the weak gravity conjecture journal, December 2014

Anti de Sitter space and holography journal, January 1998

The exact superconformal R-symmetry minimizes journal, December 2005

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

Transplanckian axions!? journal, August 2015

Consistent massive truncations of type-IIB supergravity on Sasaki-Einstein manifolds journal, June 2010

Consistent Kaluza-Klein reductions for general supersymmetric A d S solutions journal, December 2007

Landscape of superconducting membranes journal, June 2009

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Fractionalization of holographic Fermi surfaces journal, August 2012

Non-perturbative formulas for central functions of supersymmetric gauge theories journal, August 1998

Bekenstein-Hawking Entropy and Strange Metals journal, November 2015

Bounds on N $$ \mathcal{N} $$ = 1 superconformal theories with global symmetries journal, August 2014

Superconductors from Superstrings journal, September 2009

Naturalness and the Weak Gravity Conjecture journal, July 2014

The dual superconformal theory for L p , q , r manifolds journal, September 2005

Erratum to: Bounds on N = 1 $$ \mathcal{N}=1 $$ superconformal theories with global symmetries journal, January 2015

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

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Weak Gravity Conjecture and Extremal Black Holes preprint, January 2016

A supersymmetric consistent truncation for conifold solutions
journal, February 2011

Consistent supersymmetric Kaluza-Klein truncations with massive modes
journal, April 2009

Weak gravity conjecture in the asymptotical dS and AdS background
journal, October 2006

Current correlators and AdS/CFT geometry
journal, January 2006

Bootstrapping the O(N ) vector models
journal, June 2014

Gauge theory correlators from non-critical string theory
journal, May 1998

A universal inequality for CFT and quantum gravity
journal, August 2011

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

Universal conductivity and central charges
journal, September 2008

Convexity and liberation at large spin
journal, November 2013

Fencing in the swampland: quantum gravity constraints on large field inflation
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Sasaki-Einstein Metrics on S^2\times S^3
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Higher derivative corrections to R-charged black holes: boundary counterterms and the mass-charge relation
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The string landscape, black holes and gravity as the weakest force
journal, June 2007

The large $N$ limit of superconformal field theories and supergravity
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Infrared consistency and the weak gravity conjecture
journal, December 2014

Anti de Sitter space and holography
journal, January 1998

The exact superconformal R-symmetry minimizes
journal, December 2005

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

Transplanckian axions!?
journal, August 2015

Consistent massive truncations of type-IIB supergravity on Sasaki-Einstein manifolds
journal, June 2010

Consistent Kaluza-Klein reductions for general supersymmetric $A d S$ solutions
journal, December 2007

Landscape of superconducting membranes
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Membranes with topological charge and ${AdS}_{4} / {CFT}_{3}$ correspondence
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Fractionalization of holographic Fermi surfaces
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Non-perturbative formulas for central functions of supersymmetric gauge theories
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Bounds on N $$ \mathcal{N} $$ = 1 superconformal theories with global symmetries
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Superconductors from Superstrings
journal, September 2009

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The dual superconformal theory for L ^{p , q , r} manifolds
journal, September 2005

Erratum to: Bounds on N = 1 $$ \mathcal{N}=1 $$ superconformal theories with global symmetries
journal, January 2015

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

Weak Gravity Conjecture and extremal black holes
journal, June 2019

Weak Gravity Conjecture and Extremal Black Holes
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