Massive fields in AdS from Constructive Holography

Fuente: arXiv
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Hauptverfasser: Koch, Robert de Mello, Roy, Pratik, Van Zyl, Hendrik J. R.
Format: Preprint
Veröffentlicht: 2024
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author Koch, Robert de Mello
Roy, Pratik
Van Zyl, Hendrik J. R.
author_facet Koch, Robert de Mello
Roy, Pratik
Van Zyl, Hendrik J. R.
contents Collective field theory offers a constructive framework for exploring the AdS/CFT duality. In this article, we focus on constructing rotations within the light-front quantized collective field theory for the full set of spatial coordinates in the dual bulk AdS spacetime. Two intricate aspects require attention: how rotations involving the emergent holographic coordinate are implemented, and how rotations that involve the spatial coordinates participating in the construction of the light-cone coordinates $X^{\pm}$ are realized. Our construction is in agreement with Metsaev's construction directly in the gravity theory. Additionally, we derive the eigenfunctions of the AdS mass operator, which dictate the GKPW rule for the emergent higher-dimensional theory.
format Preprint
id arxiv_https___arxiv_org_abs_2408_06089
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Massive fields in AdS from Constructive Holography
Koch, Robert de Mello
Roy, Pratik
Van Zyl, Hendrik J. R.
High Energy Physics - Theory
Collective field theory offers a constructive framework for exploring the AdS/CFT duality. In this article, we focus on constructing rotations within the light-front quantized collective field theory for the full set of spatial coordinates in the dual bulk AdS spacetime. Two intricate aspects require attention: how rotations involving the emergent holographic coordinate are implemented, and how rotations that involve the spatial coordinates participating in the construction of the light-cone coordinates $X^{\pm}$ are realized. Our construction is in agreement with Metsaev's construction directly in the gravity theory. Additionally, we derive the eigenfunctions of the AdS mass operator, which dictate the GKPW rule for the emergent higher-dimensional theory.
title Massive fields in AdS from Constructive Holography
topic High Energy Physics - Theory
url https://arxiv.org/abs/2408.06089