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arXiv · 2110.09861

One-loop Gluon Amplitudes in AdS

Luis F. Alday·Agnese Bissi·Xinan Zhou
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Abstract

We initiate the study of one-loop gluon amplitudes in AdS space. These amplitudes were recently computed at tree level for a variety of backgrounds of the form $AdS_{d+1} \times S^3$. For concreteness, we compute the one-loop correction to the massless gluon amplitude on $AdS_5\times S^3$, which corresponds to the four-point correlator of the flavor current multiplet in the dual 4d $\mathcal{N}=2$ SCFT. This requires solving a mixing problem that involves tree-level amplitudes of arbitrarily massive Kaluza-Klein modes. The final answer has the same color structure as in flat space but the dependence on Mandelstam variables is more complicated, with logarithms replaced by polygamma functions.

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Luis F. Alday, Agnese Bissi, Xinan Zhou. 2021-10-19. One-loop Gluon Amplitudes in AdS. https://doi.org/10.1007/jhep02(2022)105

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