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An exact operator that knows its location
- Source :
- Journal of High Energy Physics, Journal of High Energy Physics, Vol 2018, Iss 2, Pp 1-49 (2018)
- Publication Year :
- 2018
- Publisher :
- Springer/SISSA, 2018.
-
Abstract
- We use conformal symmetry to define an AdS$_3$ proto-field $\phi$ as an exact linear combination of Virasoro descendants of a CFT$_2$ primary operator $\mathcal{O}$. We find that both symmetry considerations and a gravitational Wilson line formalism lead to the same results. The operator $\phi$ 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 $\phi$ to probe bulk locality and black hole horizons at a non-perturbative level.<br />Comment: 24+33 pages, 2 figures; V2: refs added, terminology updated
- Subjects :
- High Energy Physics - Theory
Physics
Nuclear and High Energy Physics
Conformal Field Theory
010308 nuclear & particles physics
Locality
Gravitational perturbation
FOS: Physical sciences
1/N Expansion
AdS-CFT Correspondence
Conformal and W Symmetry
01 natural sciences
Gravitation
Formalism (philosophy of mathematics)
General Relativity and Quantum Cosmology
High Energy Physics - Theory (hep-th)
Conformal symmetry
0103 physical sciences
lcsh:QC770-798
lcsh:Nuclear and particle physics. Atomic energy. Radioactivity
010306 general physics
Linear combination
BTZ black hole
Mathematical physics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Journal of High Energy Physics
- Accession number :
- edsair.doi.dedup.....74c9e77d0cef2fbbe0eeba47b61026ee