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2015

On the construction of charged operators inside an eternal black hole

Guica, Monica, Jafferis, Daniel L.

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We revisit the holographic construction of (approximately) local bulk operators inside an eternal AdS black hole in terms of operators in the boundary CFTs.

If the bulk operator carries charge, the construction must involve a qualitatively new object: a Wilson line that stretches between the two boundaries of the eternal black hole.
This operator - more precisely, its zero mode - cannot be expressed in terms of the boundary currents and only exists in entangled states dual to two-sided geometries, which suggests that it is a state-dependent operator.
We determine the action of the Wilson line on the relevant subspaces of the total Hilbert space, and show that it behaves as a local operator from the point of view of either CFT.

On the construction of charged operators inside an eternal black hole · Around

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P. Kraus, “Lectures on black holes and the AdS(3) / CFT(2) correspondence,” Lect. Notes Phys. 755
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D. Kabat, G. Lifschytz and D. A. Lowe, “Constructing local bulk observables in interacting AdS/CFT,” Phys. Rev. D 83
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2011
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Then

D. Kabat and G. Lifschytz, “CFT representation of interacting bulk gauge fields in AdS,” Phys. Rev. D 87
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2013
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K. Papadodimas and S. Raju, “An Infalling Observer in AdS/CFT,” JHEP 1310
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2013
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J. Maldacena and L. Susskind, “Cool horizons for entangled black holes,” Fortsch. Phys. 61
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2013
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D. Kabat and G. Lifschytz, “Decoding the hologram: Scalar fields interacting with gravity,” Phys. Rev. D 89
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2014
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K. Papadodimas and S. Raju, “State-Dependent Bulk-Boundary Maps and Black Hole Complementarity,” Phys. Rev. D 89
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