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arXiv · 2201.10214

Constructing the bulk at the critical point of three-dimensional large $N$ vector theories

Celeste Johnson·Mbavhalelo Mulokwe·João P. Rodrigues
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Abstract

In the context of the $AdS_{4}/CFT_{3}$ correspondence between higher spin fields and vector theories, we use the constructive bilocal fields based approach to this correspondence, to demonstrate, at the $IR$ critical point of the interacting vector theory and directly in the bulk, the removal of the $Δ=1$ ($s=0$) state from the higher spins field spectrum, and to exhibit simple Klein-Gordon higher spin Hamiltonians. The bulk variables and higher spin fields are obtained in a simple manner from boundary bilocals, by the change of variables previously derived for the $UV$ critical point (in momentum space), together with a field redefinition.

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Celeste Johnson, Mbavhalelo Mulokwe, João P. Rodrigues. 2022-02-15. Constructing the bulk at the critical point of three-dimensional large $N$ vector theories. https://doi.org/10.1016/j.physletb.2022.137056

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