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We construct smeared CFT operators which represent a scalar field in AdS interacting with gravity.
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A. Hamilton, D. Kabat, G. Lifschytz, and D. A. Lowe, “Holographic representation of local bulk operators,” Phys. Rev
2006
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C. J. Isham, “Canonical quantum gravity and the problem of time,” arXiv:gr-qc/9210011
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R. L. Arnowitt, S. Deser, and C. W. Misner, “The dynamics of general relativity,” Gen.Rel.Grav
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