On the construction of charged operators inside an eternal black hole
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...
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| Format: | Article |
| Language: | English |
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SciPost
2017-08-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.3.2.016 |
| _version_ | 1818018304369885184 |
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| author | Monica Guica, Daniel L. Jafferis |
| author_facet | Monica Guica, Daniel L. Jafferis |
| author_sort | Monica Guica, Daniel L. Jafferis |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-14T07:37:14Z |
| format | Article |
| id | doaj.art-fb1a86c309954516abe44081cfeb9ab9 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-04-14T07:37:14Z |
| publishDate | 2017-08-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-fb1a86c309954516abe44081cfeb9ab92022-12-22T02:05:39ZengSciPostSciPost Physics2542-46532017-08-013201610.21468/SciPostPhys.3.2.016On the construction of charged operators inside an eternal black holeMonica Guica, Daniel L. JafferisWe 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.https://scipost.org/SciPostPhys.3.2.016 |
| spellingShingle | Monica Guica, Daniel L. Jafferis On the construction of charged operators inside an eternal black hole SciPost Physics |
| title | On the construction of charged operators inside an eternal black hole |
| title_full | On the construction of charged operators inside an eternal black hole |
| title_fullStr | On the construction of charged operators inside an eternal black hole |
| title_full_unstemmed | On the construction of charged operators inside an eternal black hole |
| title_short | On the construction of charged operators inside an eternal black hole |
| title_sort | on the construction of charged operators inside an eternal black hole |
| url | https://scipost.org/SciPostPhys.3.2.016 |
| work_keys_str_mv | AT monicaguicadanielljafferis ontheconstructionofchargedoperatorsinsideaneternalblackhole |