Entanglement and factorization in axion-de Sitter universes
We study Renyi entropies and late-time bulk correlators between asymptotically de Sitter space universes connected through an Euclidean axion wormhole in arbitrary dimensions. We first establish the notion of entropy with respect to these observers within the background-independent approach to the a...
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Main Author | |
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Format | Journal Article |
Language | English |
Published |
13.12.2023
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Subjects | |
Online Access | Get full text |
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Summary: | We study Renyi entropies and late-time bulk correlators between
asymptotically de Sitter space universes connected through an Euclidean axion
wormhole in arbitrary dimensions. We first establish the notion of entropy with
respect to these observers within the background-independent approach to the
algebra of operators. We then provide an explicit derivation of holographic
Renyi entropies between the universes considering the dS/CFT correspondence. In
the quantum mechanical description, the results can be recasted in terms of
reduced density matrix where one of the asymptotically dS universes is traced
out. Remarkably, our work shows that the throat of the Euclidean wormhole is
associated with the entanglement between the universes. Later, we study
correlators for heavy particles in the presence of an observer. We find that
the Euclidean wormhole saddle allows for the late-time correlators with respect
to observers located in the asymptotically dS universes to achieve a constant
value at late times, while for the disconnected saddles do not contribute. The
result is compatible with each of the asymptotically de Sitter universes being
described by a finite-dimensional quantum dual theory. Lastly, we provide with
an effective theory description of the dimensional reduction of these
geometries in terms of dilaton-gravity theory with conformally coupled matter. |
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DOI: | 10.48550/arxiv.2312.08368 |