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Loop corrections for Kaluza-Klein AdS amplitudes

Aprile, F.; Drummond, J.M.; Heslop, P.; Paul, H.

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F. Aprile

J.M. Drummond

H. Paul


Recently we conjectured the four-point amplitude of graviton multiplets in AdS5 × S5 at one loop by exploiting the operator product expansion of N = 4 super Yang-Mills theory. Here we give the first extension of those results to include Kaluza-Klein modes, obtaining the amplitude for two graviton multiplets and two states of the first KK mode. Our method again relies on resolving the large N degeneracy among a family of long double-trace operators, for which we obtain explicit formulas for the leading anomalous dimensions. Having constructed the one-loop amplitude we are able to obtain a formula for the one-loop corrections to the anomalous dimensions of all twist five double-trace operators.


Aprile, F., Drummond, J., Heslop, P., & Paul, H. (2018). Loop corrections for Kaluza-Klein AdS amplitudes. Journal of High Energy Physics, 2018(5), Article 56.

Journal Article Type Article
Acceptance Date Apr 19, 2018
Online Publication Date May 9, 2018
Publication Date May 9, 2018
Deposit Date May 30, 2018
Publicly Available Date May 30, 2018
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2018
Issue 5
Article Number 56


Published Journal Article (593 Kb)

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Copyright Statement
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.

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