Loop corrections for Kaluza-Klein AdS amplitudes

DOI10.1007/JHEP05(2018)056zbMATH Open1391.83099arXiv1711.03903MaRDI QIDQ1651100

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Publication date: 11 July 2018

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Abstract: Recently we conjectured the four-point amplitude of graviton multiplets in ${mAdS}_{5}imes{mS}^5$ at one loop by exploiting the operator product expansion of $mathcalN=4$ 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.

Full work available at URL: https://arxiv.org/abs/1711.03903

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