BibTex format
@article{Aharony:2021:10.1007/jhep03(2021)208,
author = {Aharony, O and Chester, SM and Urbach, EY},
doi = {10.1007/jhep03(2021)208},
journal = {Journal of High Energy Physics},
title = {A derivation of AdS/CFT for vector models},
url = {http://dx.doi.org/10.1007/jhep03(2021)208},
volume = {2021},
year = {2021}
}
RIS format (EndNote, RefMan)
TY - JOUR
AB - <jats:title>A<jats:sc>bstract</jats:sc> </jats:title><jats:p>We explicitly rewrite the path integral for the free or critical <jats:italic>O</jats:italic>(<jats:italic>N</jats:italic>) (or U(<jats:italic>N</jats:italic>)) bosonic vector models in <jats:italic>d</jats:italic> space-time dimensions as a path integral over fields (including massless high-spin fields) living on (<jats:italic>d</jats:italic> + 1)-dimensional anti-de Sitter space. Inspired by de Mello Koch, Jevicki, Suzuki and Yoon and earlier work, we first rewrite the vector models in terms of bi-local fields, then expand these fields in eigenmodes of the conformal group, and finally map these eigenmodes to those of fields on anti-de Sitter space. Our results provide an explicit (non-local) action for a high-spin theory on anti-de Sitter space, which is presumably equivalent in the large <jats:italic>N</jats:italic> limit to Vasiliev’s classical high-spin gravity theory (with some specific gauge-fixing to a fixed background), but which can be used also for loop computations. Our mapping is explicit within the 1<jats:italic>/N</jats:italic> expansion, but in principle can be extended also to finite <jats:italic>N</jats:italic> theories, where extra constraints on products of bulk fields need to be taken into account.</jats:p>
AU - Aharony,O
AU - Chester,SM
AU - Urbach,EY
DO - 10.1007/jhep03(2021)208
PY - 2021///
TI - A derivation of AdS/CFT for vector models
T2 - Journal of High Energy Physics
UR - http://dx.doi.org/10.1007/jhep03(2021)208
UR - https://doi.org/10.1007/jhep03(2021)208
VL - 2021
ER -