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arxiv: 1706.02822 · v3 · pith:TJNRUY7Xnew · submitted 2017-06-09 · ✦ hep-th

Quantum Gravity from Conformal Field Theory

classification ✦ hep-th
keywords correctionsdouble-traceresultssymmetrytheoryyieldsamplitudeamplitudes
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We bootstrap loop corrections to AdS${}_5$ supergravity amplitudes by enforcing the consistency of the known classical results with the operator product expansion of $\mathcal{N}=4$ super Yang-Mills theory. In particular this yields much new information on the spectrum of double-trace operators which can then be used, in combination with superconformal symmetry and crossing symmetry, to obtain a prediction for the one-loop amplitude for four graviton multiplets in AdS. This in turn yields further new results on subleading $O(1/N^4)$ corrections to certain double-trace anomalous dimensions.

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