Work

AdS4/CFT3 for unprotected operators

Year: 2018
Type: article
Abstract: We consider the four-point function of the lowest scalar in the stress-energy tensor multiplet in $$ \mathcal{N}=8 $$ 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 $$ \mathcal{N}=8 $$ N = 8 numerical bootstrap for ABJ(M) at large c T , which provides a precise check of unprotected observables in AdS/CFT.
Language: English
Open Access status: diamond
OpenAlex ID: W2789435396
FWCI: 2.776
Cites: 50
Cited by: 34
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