A Caltech Library Service

Growing Extra Dimensions in AdS/CFT

Alday, Luis F. and Perlmutter, Eric (2019) Growing Extra Dimensions in AdS/CFT. Journal of High Energy Physics, 2019 (8). Art. No. 84. ISSN 1126-6708. doi:10.1007/JHEP08(2019)084.

[img] PDF - Published Version
Creative Commons Attribution.

[img] PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


What is the dimension of spacetime? We address this question in the context of the AdS/CFT Correspondence. We give a prescription for computing the number of large bulk dimensions, D, from strongly-coupled CFT_d data, where “large” means parametrically of order the AdS scale. The idea is that unitarity of 1-loop AdS amplitudes, dual to non-planar CFT correlators, fixes Din terms of tree-level data. We make this observation rigorous by deriving a positive-definite sum rule for the 1-loop double-discontinuity in the flat space/bulk-point limit. This enables us to prove an array of AdS/CFT folklore, and to infer new properties of large N CFTs at strong coupling that ensure consistency of emergent large extra dimensions with string/M-theory. We discover an OPE universality at the string scale: to leading order in large N, heavy-heavy-light three-point functions, with heavy operators that are parametrically lighter than a power of N, are linear in the heavy conformal dimension. We explore its consequences for supersymmetric CFTs and explain how emergent large extra dimensions relate to a Sublattice Weak Gravity Conjecture for CFTs. Lastly, we conjecture, building on a claim of [1], that any CFT with large higher-spin gap and no global symmetries has a holographic hierarchy: D = d + 1.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Additional Information:© 2019 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: July 1, 2019; Accepted: July 31, 2019; Published: August 19, 2019. We thank Ofer Aharony, Chris Beem, David Berenstein, Agnese Bissi, Scott Collier, Frank Coronado, Xi Dong, Sergei Gukov, Ben Heidenreich, Ying Hsuan-Lin, Shamit Kachru, Shota Komatsu, Dalimil Mazáč, David Meltzer, Yi Pang, Leonardo Rastelli and David Simmons-Duffin for helpful discussions. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 787185). We thank CERN during the workshop “Advances in Quantum Field Theory,” and the International Institute of Physics, Natal during the workshop “Nonperturbative Methods for Conformal Theories,” for stimulating environments. EP thanks the University of Michigan and KITP for hospitality during the course of this work. EP is supported by Simons Foundation grant 488657 and the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
European Research Council (ERC)787185
Simons Foundation488657
Department of Energy (DOE)DE-SC0011632
Subject Keywords:AdS-CFT Correspondence; Conformal and W Symmetry; Gauge-gravity correspondence
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Issue or Number:8
Record Number:CaltechAUTHORS:20190709-155348710
Persistent URL:
Official Citation:Alday, L.F. & Perlmutter, E. J. High Energ. Phys. (2019) 2019: 84.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97016
Deposited By: Joy Painter
Deposited On:09 Jul 2019 23:39
Last Modified:16 Nov 2021 17:25

Repository Staff Only: item control page