An exact operator that knows its location

A bstract 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...

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Published inThe journal of high energy physics Vol. 2018; no. 2; pp. 1 - 49
Main Authors Anand, N., Chen, Hongbin, Fitzpatrick, A. Liam, Kaplan, Jared, Li, Daliang
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2018
Springer Nature B.V
Springer Berlin
SpringerOpen
Subjects
1/N Expansion
AdS-CFT Correspondence
Classical and Quantum Gravitation
Conformal and W Symmetry
Conformal Field Theory
Correlators
Elementary Particles
Gravitation theory
High energy physics
Perturbation theory
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Symmetry
AdS-CFT Correspondence
Conformal and W Symmetry
Conformal Field Theory
1/N Expansion
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Abstract A bstract 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.
AbstractList 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.
A bstract 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.
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.
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.
ArticleNumber 12
Author Li, Daliang
Chen, Hongbin
Anand, N.
Fitzpatrick, A. Liam
Kaplan, Jared
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  surname: Anand
  fullname: Anand, N.
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  fullname: Chen, Hongbin
  organization: Department of Physics and Astronomy, Johns Hopkins University
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  givenname: A. Liam
  surname: Fitzpatrick
  fullname: Fitzpatrick, A. Liam
  organization: Department of Physics, Boston University
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  givenname: Jared
  surname: Kaplan
  fullname: Kaplan, Jared
  email: jareddk@gmail.com
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  givenname: Daliang
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BackLink https://www.osti.gov/servlets/purl/1501932$$D View this record in Osti.gov
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Keywords AdS-CFT Correspondence
Conformal and W Symmetry
Conformal Field Theory
1/N Expansion
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Snippet A bstract We use conformal symmetry to define an AdS 3 proto-field ϕ as an exact linear combination of Virasoro descendants of a CFT 2 primary operator O . We...
We use conformal symmetry to define an AdS3 proto-field ϕ as an exact linear combination of Virasoro descendants of a CFT2 primary operator O. We find that...
We use conformal symmetry to define an AdS3 proto-field φ as an exact linear combination of Virasoro descendants of a CFT2 primary operator O . We find that...
Abstract We use conformal symmetry to define an AdS3 proto-field ϕ as an exact linear combination of Virasoro descendants of a CFT2 primary operator O $$...
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SubjectTerms 1/N Expansion
AdS-CFT Correspondence
Classical and Quantum Gravitation
Conformal and W Symmetry
Conformal Field Theory
Correlators
Elementary Particles
Gravitation theory
High energy physics
Perturbation theory
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Symmetry
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Title An exact operator that knows its location
URI https://link.springer.com/article/10.1007/JHEP02(2018)012
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Volume 2018
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