Holographic conformal blocks from interacting Wilson lines

A bstract We present a simple prescription for computing conformal blocks and correlation functions holographically in AdS 3 in terms of Wilson lines merging at a bulk vertex. This is shown to reproduce global conformal blocks and heavy-light Virasoro blocks. In the case of higher spin theories the...

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Bibliographic Details
Published in:The journal of high energy physics 2016-08, Vol.2016 (8), p.1-35, Article 99
Main Authors: Besken, Mert, Hegde, Ashwin, Hijano, Eliot, Kraus, Per
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Computation
Correlation
Elementary Particles
High energy physics
Mathematical analysis
Mathematical models
Merging
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
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Summary:A bstract We present a simple prescription for computing conformal blocks and correlation functions holographically in AdS 3 in terms of Wilson lines merging at a bulk vertex. This is shown to reproduce global conformal blocks and heavy-light Virasoro blocks. In the case of higher spin theories the space of vertices is in one-to-one correspondence with the space of W N conformal blocks, and we show how the latter are obtained by explicit computations.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2016)099