An exact operator that knows its location

Anand, N.; Chen, Hongbin; Fitzpatrick, A. Liam; Kaplan, Jared; Li, Daliang

doi:10.1007/jhep02(2018)012

Title: An exact operator that knows its location

Journal Article · Fri Feb 02 00:00:00 EST 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep02(2018)012· OSTI ID:1501932

Anand, N. ^[1]; Chen, Hongbin ^[1]; Fitzpatrick, A. Liam ^[2]; Kaplan, Jared ^[3]; Li, Daliang ^[1]

Johns Hopkins Univ., Baltimore, MD (United States). Dept. of Physics and Astronomy
Boston Univ., MA (United States). Dept. of Physics
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

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.

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Research Organization:: Boston Univ., MA (United States); Johns Hopkins Univ., Baltimore, MD (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)

Grant/Contract Number:: SC0010025; PHY-1607611; PHY-1454083

OSTI ID:: 1501932

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 2; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 33 works

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