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Loop corrections for Kaluza-Klein AdS amplitudes.

Aprile, F. and Drummond, J. M. and Heslop, P. and Paul, H. (2018) 'Loop corrections for Kaluza-Klein AdS amplitudes.', Journal of high energy physics., 2018 (5). p. 56.


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.

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Publisher 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.
Date accepted:19 April 2018
Date deposited:30 May 2018
Date of first online publication:09 May 2018
Date first made open access:No date available

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