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Exploring the BTZ bulk with boundary conformal blocks
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2016 (English)Article in journal (Refereed) Submitted
Abstract [en]

We point out a simple relation between the bulk field at an arbitrary radial position and the boundary OPE, by placing some old work by Ferrara, Gatto, Grillo and Parisi in the AdS/CFT context. This gives us, in principle, a prescription for extracting the classical bulk field from the boundary conformal block, and also clarifies why the latter is computed by a geodesic Witten diagram. We apply this prescription to the BTZ black hole - viewed as a pure state created by the insertion of a heavy operator in the boundary CFT_2 - and use it to relate a classical field in the bulk to a heavy-light Virasoro conformal block in the boundary. In particular, we obtain a relation between the radial bulk position and the conformal ratios in the boundary CFT. We use this to show that the singular points of the radial bulk equation occur when the dual boundary operators approach each other and that the associated bulk monodromies map to monodromies of the (appropriately transformed) conformal block, thus providing a CFT interpretation of the radial monodromy.

Place, publisher, year, edition, pages
National Category
Subatomic Physics
Research subject
Theoretical Astrophysics
URN: urn:nbn:se:uu:diva-287809OAI: oai:DiVA.org:uu-287809DiVA: diva2:923477
Available from: 2016-04-26 Created: 2016-04-26 Last updated: 2016-04-26

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Guida, Monica
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