AdS4/CFT3 for unprotected operators

Abstract We consider the four-point function of the lowest scalar in the stress-energy tensor multiplet in N=8 $$ \mathcal{N}=8 $$ ABJ(M) theory [1, 2]. At large central charge c T ∼ N 3/2, this correlator is given by the corresponding holographic correlation function in 11d supergravity on AdS 4 ×...

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Bibliographic Details
Main Author: Shai M. Chester
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP07(2018)030
Description
Summary:Abstract We consider the four-point function of the lowest scalar in the stress-energy tensor multiplet in N=8 $$ \mathcal{N}=8 $$ ABJ(M) theory [1, 2]. At large central charge c T ∼ N 3/2, this correlator is given by the corresponding holographic correlation function in 11d supergravity on AdS 4 × S 7. We use Mellin space techniques to compute the leading 1/c T correction to anomalous dimensions and OPE coefficients of operators that appear in this holographic correlator. For half and quarter-BPS operators, we find exact agreement with previously computed localization results. For the other BPS and non-BPS operators, our results match the N=8 $$ \mathcal{N}=8 $$ numerical bootstrap for ABJ(M) at large c T , which provides a precise check of unprotected observables in AdS/CFT.
ISSN:1029-8479