Exact Virasoro blocks from Wilson lines and background-independent operators

A bstract Aspects of black hole thermodynamics and information loss can be derived as a consequence of Virasoro symmetry. To bolster the connection between Virasoro conformal blocks and AdS 3 quantum gravity, we study sl(2) Chern-Simons Wilson line networks and revisit the idea that they compute a v...

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Bibliographic Details
Published in:The journal of high energy physics 2017-07, Vol.2017 (7), p.1-51, Article 92
Main Authors: Fitzpatrick, A. Liam, Kaplan, Jared, Li, Daliang, Wang, Junpu
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Black holes
Chern-Simons Theories
Classical and Quantum Gravitation
Conformal and W Symmetry
Elementary Particles
Gravity
High energy physics
Kinematics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum gravity
Quantum Physics
Reconstruction
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Symmetry
Thermodynamics
Wilson, ’t Hooft and Polyakov loops
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Summary:A bstract Aspects of black hole thermodynamics and information loss can be derived as a consequence of Virasoro symmetry. To bolster the connection between Virasoro conformal blocks and AdS 3 quantum gravity, we study sl(2) Chern-Simons Wilson line networks and revisit the idea that they compute a variety of CFT 2 observables, including Virasoro OPE blocks, exactly. We verify this in the semiclassical large central charge limit and to low orders in a perturbative 1 /c expansion. Wilson lines connecting the boundary to points in the bulk play a natural role in bulk reconstruction. Because quantum gravity in AdS 3 is rigidly fixed by Virasoro symmetry, we argue that sl(2) Wilson lines provide building blocks for background independent bulk reconstruction. In particular, we show explicitly that they automatically ‘know’ about the uniformizing coordinates appropriate to any background state.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2017)092