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Title: Weak gravity conjecture in the AdS/CFT correspondence

Journal Article · · Physical Review. D, Particles, Fields, Gravitation and Cosmology
 [1];  [2]
  1. 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)
  2. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
+ Show Author Affiliations

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.

Research Organization:
California Institute of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)
Grant/Contract Number:
SC0011632; AC02-05CH11231; PHY-1214644; PHY-1521446; 15H05895
OSTI ID:
1598797
Alternate ID(s):
OSTI ID: 1229587
Journal Information:
Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 92, Issue 12; ISSN 1550-7998
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 61 works
Citation information provided by
Web of Science

References (34)

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
Five dimensional <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi>O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-symmetric CFTs from conformal bootstrap 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
Membranes with topological charge and AdS 4 / CFT 3 correspondence journal June 2010
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

Cited By (2)

Weak Gravity Conjecture and extremal black holes journal June 2019
Weak Gravity Conjecture and Extremal Black Holes preprint January 2016

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