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.(more)
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%0 Generic
%1 Besken2016Holographic
%A Besken, Mert
%A Hegde, Ashwin
%A Hijano, Eliot
%A Kraus, Per
%D 2016
%K ads3-cft2, conformal-block, higher-spin, wilson-loops
%T Holographic conformal blocks from interacting Wilson lines
%U http://arxiv.org/abs/1603.07317
%X 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.
@misc{Besken2016Holographic,
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 \${\cal W}\_N\$
conformal blocks, and we show how the latter are obtained by explicit
computations.},
added-at = {2019-02-26T10:37:35.000+0100},
archiveprefix = {arXiv},
author = {Besken, Mert and Hegde, Ashwin and Hijano, Eliot and Kraus, Per},
biburl = {https://www.bibsonomy.org/bibtex/2a307bc36cd8fbcafef367572e3a8e0f0/acastro},
citeulike-article-id = {13987018},
citeulike-linkout-0 = {http://arxiv.org/abs/1603.07317},
citeulike-linkout-1 = {http://arxiv.org/pdf/1603.07317},
day = 23,
eprint = {1603.07317},
interhash = {3e854542a33e100af9ad196be0914c95},
intrahash = {a307bc36cd8fbcafef367572e3a8e0f0},
keywords = {ads3-cft2, conformal-block, higher-spin, wilson-loops},
month = mar,
posted-at = {2016-03-24 08:05:21},
priority = {2},
timestamp = {2019-02-26T10:37:35.000+0100},
title = {{Holographic conformal blocks from interacting Wilson lines}},
url = {http://arxiv.org/abs/1603.07317},
year = 2016
}