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• W2620953265 abstract "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." @default.
• W2620953265 created "2017-06-09" @default.
• W2620953265 creator A5058382031 @default.
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• W2620953265 date "2017-09-01" @default.
• W2620953265 modified "2023-10-18" @default.
• W2620953265 title "Witten diagrams for torus conformal blocks" @default.
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• W2620953265 doi "https://doi.org/10.1007/jhep09(2017)149" @default.
• W2620953265 hasPublicationYear "2017" @default.
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