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Holographic conformal blocks from interacting Wilson lines

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(Mar 23, 2016)

Abstract

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.

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