Under the proposed instanton prescription, the linearized gravity partition function and its dual differ by a factor (κ/κ̃)^(1/2 χ(M;T*M)), so the theories are quantum inequivalent in even dimensions.
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Duality Anomalies in Linearized Gravity
Under the proposed instanton prescription, the linearized gravity partition function and its dual differ by a factor (κ/κ̃)^(1/2 χ(M;T*M)), so the theories are quantum inequivalent in even dimensions.