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