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Résumé |
We consider the construction of (approximately) local charged bulk operators inside an eternal
black hole in terms of CFT operators on the two asymptotic boundaries. This construction must
involve a qualitatively new object: a Wilson line that stretches between the two boundaries of
the eternal black hole, which cannot be expressed in terms of the boundary currents. The zero
mode of this Wilson line is associated to the appearance of a new gauge-invariant mode of the
bulk gauge field that only exists in two-sided geometries. We discuss how the Wilson line
operator acts on the relevant subspaces of the CFT Hilbert space. Furthermore, we show
that it may be extracted from a limit of certain standard CFT operator expressions.
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