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Cited by 817

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Correlation functions in the CFT /AdS+1 correspondence

Open access
Freedman, Daniel Z., Mathur, Samir D., Matusis, Alec, Rastelli, Leonardo·1999·Nuclear Physics B

Abstract

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 three 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.

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Metadata

Authors
Freedman, D. Z., Mathur, S. D., Matusis, A., & Rastelli, L.
Venue
Nuclear Physics B
Publisher
Elsevier BV
Published
1999-04
Volume
546
Issue
1-2
Pages
96-118
ISSN
0550-3213 (ISSN-L)
OpenAlex
W2952627518
Cited by
817
References
6
FWCI
38.12
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Correlation functions in the CFT /AdS+1 correspondence. https://app.cochat.ai/papers/10.1016/s0550-3213(99)00053-x
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Freedman, D. Z., Mathur, S. D., Matusis, A., & Rastelli, L. (1999). Correlation functions in the CFT /AdS+1 correspondence. Nuclear Physics B. https://doi.org/10.1016/s0550-3213(99)00053-x

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