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On the construction of charged operators inside an eternal black hole
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden.
Number of Authors: 22017 (English)In: SciPost Physics, ISSN 2542-4653, Vol. 3, no 2, article id UNSP 016Article in journal (Refereed) Published
Abstract [en]

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. For the case of three bulk dimensions, we give explicit expressions for the charged bulk field and the Wilson line. Furthermore, we show that when acting on the thermofield double state, the Wilson line may be extracted from a limit of certain standard CFT operator expressions. We also comment on the relationship between the Wilson line and previously discussed mirror operators in the eternal black hole.

Place, publisher, year, edition, pages
2017. Vol. 3, no 2, article id UNSP 016
National Category
Mathematics Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-147938DOI: 10.21468/SciPostPhys.3.2.016ISI: 000410373600008OAI: oai:DiVA.org:su-147938DiVA, id: diva2:1149945
Available from: 2017-10-17 Created: 2017-10-17 Last updated: 2017-10-17Bibliographically approved

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