AdS/CFT, Ultralimits and Baby universes
Abstract
We propose boundary theories, CFTp with p∈ βℕ/ℕ, which can be interpreted as an ensemble of theories in the context of AdS/CFT duality, when the boundary spacetime dimension is more than one. These theories are only emergent in the infinite N limit of the boundary CFT and depend on p, which corresponds to the different ways one can take a generalized form of the infinite N limit, in the presence of a chaotic or an oscillatory operator. This generalized infinite N limit is called an \emph{ultralimit}, and p is a \emph{free ultrafilter} on ℕ. We propose that the gravitational path integral computes an average of CFTp in each of its sectors; and in the appropriate cases, it produces baby universes and spacetime wormholes. We apply this proposal to the Antonini-Sasieta-Swingle (AS2) like states.
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BibTeX
@misc{bahiru2026adscft,
title = {{AdS/CFT, Ultralimits and Baby universes}},
author = {Eyoab Bahiru},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.27563},
eprint = {2608.27563},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.27563},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - AdS/CFT, Ultralimits and Baby universes
AU - Eyoab Bahiru
PY - 2026
DA - 2026/08/27
PB - arXiv
DO - 10.48550/arxiv.2608.27563
UR - https://arxiv.org/abs/2608.27563
AB - We propose boundary theories, CFT_p with p∈ βℕ/ℕ, which can be interpreted as an ensemble of theories in the context of AdS/CFT duality, when the boundary spacetime dimension is more than one. These theories are only emergent in the infinite N limit of the boundary CFT and depend on p, which corresponds to the different ways one can take a generalized form of the infinite N limit, in the presence of a chaotic or an oscillatory operator. This generalized infinite N limit is called an \emph{ultralimit}, and p is a \emph{free ultrafilter} on ℕ. We propose that the gravitational path integral computes an average of CFT_p in each of its sectors; and in the appropriate cases, it produces baby universes and spacetime wormholes. We apply this proposal to the Antonini-Sasieta-Swingle (AS^2) like states.
ER -