Bilocal holography and locality in the bulk

Fuente: arXiv
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Auteurs principaux: Koch, Robert de Mello, Kemp, Garreth, Van Zyl, Hendrik J. R.
Format: Preprint
Publié: 2024
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author Koch, Robert de Mello
Kemp, Garreth
Van Zyl, Hendrik J. R.
author_facet Koch, Robert de Mello
Kemp, Garreth
Van Zyl, Hendrik J. R.
contents Bilocal holography provides a constructive approach to the vector model/higher spin gravity duality. It has two ingredients: a change of field variables and a change of space time coordinates. The change of field variables ensures that the loop expansion parameter becomes ${1\over N}$. The change of coordinates solves the Clebsch-Gordan problem of moving from the tensor product basis (in which the collective bilocal field is written) to the direct sum basis (appropriate for the description of the gravity fields). We argue that the change of space time coordinates can be deduced by requiring that operators constructed in the bilocal collective field theory are dual to local operators in the AdS bulk.
format Preprint
id arxiv_https___arxiv_org_abs_2403_07606
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Bilocal holography and locality in the bulk
Koch, Robert de Mello
Kemp, Garreth
Van Zyl, Hendrik J. R.
High Energy Physics - Theory
Bilocal holography provides a constructive approach to the vector model/higher spin gravity duality. It has two ingredients: a change of field variables and a change of space time coordinates. The change of field variables ensures that the loop expansion parameter becomes ${1\over N}$. The change of coordinates solves the Clebsch-Gordan problem of moving from the tensor product basis (in which the collective bilocal field is written) to the direct sum basis (appropriate for the description of the gravity fields). We argue that the change of space time coordinates can be deduced by requiring that operators constructed in the bilocal collective field theory are dual to local operators in the AdS bulk.
title Bilocal holography and locality in the bulk
topic High Energy Physics - Theory
url https://arxiv.org/abs/2403.07606