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Title: An exact operator that knows its location

We use conformal symmetry to define an AdS 3 proto-field φ as an exact linear combination of Virasoro descendants of a CFT 2 primary operator 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 AdS 3 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.
Authors:
 [1] ;  [1] ;  [2] ;  [3] ;  [1]
  1. Johns Hopkins Univ., Baltimore, MD (United States). Dept. of Physics and Astronomy
  2. Boston Univ., MA (United States). Dept. of Physics
  3. Johns Hopkins Univ., Baltimore, MD (United States). Dept. of Physics and Astronomy; Univ. of California, Davis, CA (United States). Center for Quantum Mathematics and Physics (QMAP); Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics. Dept. of Physics
Publication Date:
Grant/Contract Number:
SC0010025; PHY-1607611; PHY-1454083
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 2; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Boston Univ., MA (United States); Johns Hopkins Univ., Baltimore, MD (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 1/N expansion; AdS-CFT correspondence; conformal and W symmetry; conformal field theory
OSTI Identifier:
1501932

Anand, N., Chen, Hongbin, Fitzpatrick, A. Liam, Kaplan, Jared, and Li, Daliang. An exact operator that knows its location. United States: N. p., Web. doi:10.1007/jhep02(2018)012.
Anand, N., Chen, Hongbin, Fitzpatrick, A. Liam, Kaplan, Jared, & Li, Daliang. An exact operator that knows its location. United States. doi:10.1007/jhep02(2018)012.
Anand, N., Chen, Hongbin, Fitzpatrick, A. Liam, Kaplan, Jared, and Li, Daliang. 2018. "An exact operator that knows its location". United States. doi:10.1007/jhep02(2018)012. https://www.osti.gov/servlets/purl/1501932.
@article{osti_1501932,
title = {An exact operator that knows its location},
author = {Anand, N. and Chen, Hongbin and Fitzpatrick, A. Liam and Kaplan, Jared and Li, Daliang},
abstractNote = {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 . 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.},
doi = {10.1007/jhep02(2018)012},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2018,
place = {United States},
year = {2018},
month = {2}
}