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2012

Construction of Bulk Fields with Gauge Redundancy

Heemskerk, Idse

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We extend the construction of field operators in AdS as smeared single trace operators in the boundary CFT to gauge fields and gravity.

Bulk field operators in a fixed gauge can be thought of as non-local gauge invariant observables.
Non-local commutators result from the Gauss law constraint, which for gravity implies a perturbative notion of holography.
We work out these commutators in a generalized Coulomb gauge and obtain leading order smearing functions in radial gauge.

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Built on

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S. de Haro, S. N. Solodukhin and K. Skenderis, “Holographic reconstruction of space-time and renormalization in the AdS / CFT correspondence,” Commun. Math. Phys. 217
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Similar

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T. Banks, M. R. Douglas, G. T. Horowitz and E. J. Martinec, “AdS dynamics from conformal field theory,” arXiv:hep-th/9808016

Then

D. Marolf, “Unitarity and Holography in Gravitational Physics,” Phys. Rev. D 79
Original
2009
Later among the works it cites.
D. Marolf, “Holographic Thought Experiments,” Phys. Rev. D 79
Original
2009
Later among the works it cites.
D. Kabat, G. Lifschytz, D. A. Lowe, “Constructing local bulk observables in interacting AdS/CFT,” Phys. Rev. D83
Original
2011
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I. Heemskerk and J. Polchinski, “Holographic and Wilsonian Renormalization Groups,” JHEP 1106
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2011
Later among the works it cites.

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I. Heemskerk, D. Marolf, J. Polchinski, “Bulk and Transhorizon Measurements in AdS/CFT’,” [arXiv:1201.xxxx [hep-th]]

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J. D. Bjorken and S. D. Drell, “Relativistic quantum fields,”

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J. Polchinski, “Introduction to Gauge/Gravity Duality,” arXiv:1010.6134 [hep-th]

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