期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP09(2017)149
关键词
AdS-CFT Correspondence; Gauge-gravity correspondence
资金
- NSF [PHY-1313986]
- National Science and Engineering Council of Canada
- Simons Foundation
- NSFC [11275010, 11335012, 11325522]
- Direct For Mathematical & Physical Scien
- Division Of Physics [1619926] Funding Source: National Science Foundation
We give a holographic description of global conformal blocks in two dimensional conformal field theory on the sphere and on the torus. We show that the conformal blocks for one-point functions on the torus can be written as Witten diagrams in thermal AdS. This is accomplished by deriving a general conformal Casimir equation for global conformal blocks, and showing that Witten diagrams obey the same equation. We study the semi-classical limit of n-point conformal blocks, and show that these equal the action of a network of bulk world-lines obeying appropriate geodesic equations. We give an alternate description in the Chern-Simons formulation of 3D gravity, where the conformal blocks are described by networks of Wilson lines, and argue that these formulations are equivalent.
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