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arXiv · 1912.07632

One-loop string corrections to AdS amplitudes from CFT

J. M. Drummond·H. Paul
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Abstract

We consider $\alpha'$ corrections to the one-loop four-point correlator of the stress-tensor multiplet in $\mathcal{N}=4$ super Yang-Mills at order $1/N^4$. Holographically, this is dual to string corrections of the one-loop supergravity amplitude on AdS$_5\times$S$^5$. While this correlator has been considered in Mellin space before, we derive the corresponding position space results, gaining new insights into the analytic structure of AdS loop-amplitudes. Most notably, the presence of a transcendental weight three function involving new singularities is required, which has not appeared in the context of AdS amplitudes before. We thereby confirm the structure of string corrected one-loop Mellin amplitudes, and also provide new explicit results at orders in $\alpha'$ not considered before.

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J. M. Drummond, H. Paul. 2019-12-16. One-loop string corrections to AdS amplitudes from CFT. https://doi.org/10.1007/jhep03(2021)038

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