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Is the leading order contribution to the double-trace operator anomalous dimension always $O(1/N^2)$ ? I noticed that the double-trace contribution in Polchinski's paper hep-th/0907.0151 gets an anomalous dimension at $O(1/N^2)$. Is this true for any large-N CFT? If so, how to prove it? Are there counter-examples?

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