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Weak gravity conjecture in the AdS/CFT correspondence

Nakayama, Yu and Nomura, Yasunori (2015) Weak gravity conjecture in the AdS/CFT correspondence. Physical Review D, 92 (12). Art. No. 126006. ISSN 2470-0010. https://resolver.caltech.edu/CaltechAUTHORS:20151022-120700496

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Abstract

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. 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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1509.01647arXivDiscussion Paper
http://dx.doi.org/10.1103/PhysRevD.92.126006DOIArticle
http://journals.aps.org/prd/abstract/10.1103/PhysRevD.92.126006PublisherArticle
ORCID:
AuthorORCID
Nakayama, Yu0000-0002-1747-5147
Alternate Title:Weak Gravity Conjecture in AdS/CFT
Additional Information:© 2015 American Physical Society. Received 11 September 2015; published 14 December 2015. We would like to thank Sean Hartnoll, Simeon Hellerman, Igor Klebanov, and Tomoki Ohtsuki for useful discussions. Y. N.1 thanks Weizmann Institute of Science and Y. N.2 thanks Kavli Institute for the Physics and Mathematics of the Universe, University of Tokyo for hospitality during their visits in which a part of this work was carried out. The work of Y. N.1 was supported in part by a Sherman Fairchild Senior Research Fellowship at California Institute of Technology and Department of Energy (DOE) Grant No. de-sc0011632 as well as the World Premier International Research Center Initiative (WPI Initiative), MEXT. The work of Y. N.2 was supported in part by the Director, Office of Science, Office of High Energy and Nuclear Physics, of the U.S. DOE under Contract No. DE-AC02-05CH11231, by the National Science Foundation under Grants No. PHY-1214644 and No. PHY-1521446, and by MEXT KAKENHI Grant No. 15H05895.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
Department of Energy (DOE)de-sc0011632
World Premier International Research Center Initiative (WPI Initiative), MEXTUNSPECIFIED
Department of Energy (DOE)DE-AC02-05CH11231
NSFPHY-1214644
NSFPHY-1521446
Japan Society for the Promotion of Science (JSPS)15H05895
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2015-045
Issue or Number:12
Classification Code:PACS numbers: 04.60.-m, 11.25.Hf
Record Number:CaltechAUTHORS:20151022-120700496
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20151022-120700496
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:61422
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:22 Oct 2015 20:22
Last Modified:09 Mar 2020 13:19

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