Correlation functions in the CFT(d)/AdS(d+1) correpondence
read the original abstract
Conformal techniques are applied to the calculation of integrals on AdS(d+1) space which define correlators of composite operators in the superconformal field theory on the d-dimensional boundary. The 3-point amplitudes for scalar fields of arbitrary mass and gauge fields in the AdS supergravity are calculated explicitly. For 3 gauge fields we compare in detail with the known conformal structure of the SU(4) flavor current correlator <J_i^a J_j^b J_k^c> of the N=4, d=4 SU(N) SYM theory. Results agree with the free field approximation as would be expected from superconformal non-renormalization theorems. In studying the Ward identity relating <J_i^a O^I O^J> to <O^I O^J> for (non-marginal) scalar composite operators O^I, we find that there is a subtlety in obtaining the normalization of <O^I O^J> from the supergravity action integral.
This paper has not been read by Pith yet.
Forward citations
Cited by 3 Pith papers
-
A Holographic Constraint on Scale Separation
A holographic consistency condition derived from large-N factorization requires vanishing cubic couplings for extremal-dimension operators and is non-trivially satisfied in DGKT AdS4 string vacua.
-
Bouncing singularities and thermal correlators on line defects
Retarded correlators of displacement operators on line defects in holographic thermal CFTs exhibit bouncing singularities that match between interior-sensitive WKB and boundary-only OPE analyses.
-
Heavy holographic correlators in defect conformal field theories
Holographic probe-brane calculations produce defect one- and two-point functions of heavy scalars that match OPE and BOE limits.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.