An exact operator that knows its location
Abstract We use conformal symmetry to define an AdS3 proto-field ϕ as an exact linear combination of Virasoro descendants of a CFT2 primary operator O $$ \mathcal{O} $$. We find that both symmetry considerations and a gravitational Wilson line formalism lead to the same results. The operator ϕ has m...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP02(2018)012 |
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doaj-9e68b263184842c69dd10b17e91e20732020-11-24T21:36:34ZengSpringerOpenJournal of High Energy Physics1029-84792018-02-012018214910.1007/JHEP02(2018)012An exact operator that knows its locationN. Anand0Hongbin Chen1A. Liam Fitzpatrick2Jared Kaplan3Daliang Li4Department of Physics and Astronomy, Johns Hopkins UniversityDepartment of Physics and Astronomy, Johns Hopkins UniversityDepartment of Physics, Boston UniversityDepartment of Physics and Astronomy, Johns Hopkins UniversityDepartment of Physics and Astronomy, Johns Hopkins UniversityAbstract We use conformal symmetry to define an AdS3 proto-field ϕ as an exact linear combination of Virasoro descendants of a CFT2 primary operator O $$ \mathcal{O} $$. We find that both symmetry considerations and a gravitational Wilson line formalism lead to the same results. The operator ϕ has many desirable properties; in particular it has correlators that agree with gravitational perturbation theory when expanded at large c, and that automatically take the correct form in all vacuum AdS3 geometries, including BTZ black hole backgrounds. In the future it should be possible to use ϕ to probe bulk locality and black hole horizons at a non-perturbative level.http://link.springer.com/article/10.1007/JHEP02(2018)0121/N ExpansionAdS-CFT CorrespondenceConformal and W SymmetryConformal Field Theory |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
N. Anand Hongbin Chen A. Liam Fitzpatrick Jared Kaplan Daliang Li |
| spellingShingle |
N. Anand Hongbin Chen A. Liam Fitzpatrick Jared Kaplan Daliang Li An exact operator that knows its location Journal of High Energy Physics 1/N Expansion AdS-CFT Correspondence Conformal and W Symmetry Conformal Field Theory |
| author_facet |
N. Anand Hongbin Chen A. Liam Fitzpatrick Jared Kaplan Daliang Li |
| author_sort |
N. Anand |
| title |
An exact operator that knows its location |
| title_short |
An exact operator that knows its location |
| title_full |
An exact operator that knows its location |
| title_fullStr |
An exact operator that knows its location |
| title_full_unstemmed |
An exact operator that knows its location |
| title_sort |
exact operator that knows its location |
| publisher |
SpringerOpen |
| series |
Journal of High Energy Physics |
| issn |
1029-8479 |
| publishDate |
2018-02-01 |
| description |
Abstract We use conformal symmetry to define an AdS3 proto-field ϕ as an exact linear combination of Virasoro descendants of a CFT2 primary operator O $$ \mathcal{O} $$. We find that both symmetry considerations and a gravitational Wilson line formalism lead to the same results. The operator ϕ has many desirable properties; in particular it has correlators that agree with gravitational perturbation theory when expanded at large c, and that automatically take the correct form in all vacuum AdS3 geometries, including BTZ black hole backgrounds. In the future it should be possible to use ϕ to probe bulk locality and black hole horizons at a non-perturbative level. |
| topic |
1/N Expansion AdS-CFT Correspondence Conformal and W Symmetry Conformal Field Theory |
| url |
http://link.springer.com/article/10.1007/JHEP02(2018)012 |
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