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Main Author: Aguilar-Gutierrez, Sergio E.
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2312.08368
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author Aguilar-Gutierrez, Sergio E.
author_facet Aguilar-Gutierrez, Sergio E.
contents We study extremal codimension-two areas and late-time bulk correlators between a pair of asymptotically de Sitter space universes connected through an Euclidean axion wormhole, in arbitrary dimensions. Assuming the validity of the de Sitter (dS)/conformal field theory (CFT) correspondence, we describe factorized Hilbert spaces for the putative boundary theories at $\mathcal{I}^+$ in each of the universes based on the asymptotically dS isometries. This allow us to we interpret the extremal areas as complex-valued holographic entanglement entropy between the microscopic duals. Later, we evaluate two-point correlation functions for heavy particles detected near $\mathcal{I}^+$. The Euclidean wormhole saddle point is responsible for finiteness of the correlators. The results are compatible with the boundary dual being non-unitary and having a large Hilbert space dimension. At last, we dimensionally reduce these geometries in terms of dilaton-gravity theory with conformally coupled matter.
format Preprint
id arxiv_https___arxiv_org_abs_2312_08368
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Entanglement and factorization in axion-de Sitter universes
Aguilar-Gutierrez, Sergio E.
High Energy Physics - Theory
We study extremal codimension-two areas and late-time bulk correlators between a pair of asymptotically de Sitter space universes connected through an Euclidean axion wormhole, in arbitrary dimensions. Assuming the validity of the de Sitter (dS)/conformal field theory (CFT) correspondence, we describe factorized Hilbert spaces for the putative boundary theories at $\mathcal{I}^+$ in each of the universes based on the asymptotically dS isometries. This allow us to we interpret the extremal areas as complex-valued holographic entanglement entropy between the microscopic duals. Later, we evaluate two-point correlation functions for heavy particles detected near $\mathcal{I}^+$. The Euclidean wormhole saddle point is responsible for finiteness of the correlators. The results are compatible with the boundary dual being non-unitary and having a large Hilbert space dimension. At last, we dimensionally reduce these geometries in terms of dilaton-gravity theory with conformally coupled matter.
title Entanglement and factorization in axion-de Sitter universes
topic High Energy Physics - Theory
url https://arxiv.org/abs/2312.08368