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arXiv · 1711.03903

Loop corrections for Kaluza-Klein AdS amplitudes

F. Aprile·J. M. Drummond·P. Heslop·H. Paul
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Abstract

Recently we conjectured the four-point amplitude of graviton multiplets in ${\rm AdS}_5 \times {\rm S}^5$ at one loop by exploiting the operator product expansion of $\mathcal{N}=4$ 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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F. Aprile, J. M. Drummond, P. Heslop, H. Paul. 2017-11-10. Loop corrections for Kaluza-Klein AdS amplitudes. https://doi.org/10.1007/jhep05(2018)056

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