One-loop gluon amplitudes in AdS

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) x S-3. For concreteness, we compute the one-loop correction to the massless gluon amplitude on AdS(5) x S-3, which corresponds to the four-point correlator of the flavor current multiplet in the dual 4d 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.

Automated summary

This paper initiates the study of one-loop gluon amplitudes in AdS space. The one-loop correction to the massless gluon amplitude on AdS(5) x S-3 is computed, and the differences from flat space are discussed.