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Main Authors: Kovalsky, Lucas K., Pathak, Shivesh, Ritchie, Kyle
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.13145
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author Kovalsky, Lucas K.
Pathak, Shivesh
Ritchie, Kyle
author_facet Kovalsky, Lucas K.
Pathak, Shivesh
Ritchie, Kyle
contents We derive a dS$_4 \times \mathbb R$ quotient spacetime that is asymptotically dS$_4$, where the quotient makes its past boundary oppositely oriented relative to its future boundary. This introduces a lightlike singularity that severs the antipodes of the spacetime and simplifies its global vacuum to a trivial product on antipodal static patches. We show that this state is conformal to the vacuum of an infinite orientable cover of a non-orientable AdS$_3$ spacetime with an S$^2$ bundle. The vacuum's separability extends to its holographic dual, which is a product of Cardy states. We find that this candidate dS$_4$ vacuum state is perturbatively unstable within quantum gravity due to a vanishing Hagedorn temperature.
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institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Conformal Vacuum of dS$_4\times \mathbb R$ with Oppositely Oriented Boundaries
Kovalsky, Lucas K.
Pathak, Shivesh
Ritchie, Kyle
High Energy Physics - Theory
We derive a dS$_4 \times \mathbb R$ quotient spacetime that is asymptotically dS$_4$, where the quotient makes its past boundary oppositely oriented relative to its future boundary. This introduces a lightlike singularity that severs the antipodes of the spacetime and simplifies its global vacuum to a trivial product on antipodal static patches. We show that this state is conformal to the vacuum of an infinite orientable cover of a non-orientable AdS$_3$ spacetime with an S$^2$ bundle. The vacuum's separability extends to its holographic dual, which is a product of Cardy states. We find that this candidate dS$_4$ vacuum state is perturbatively unstable within quantum gravity due to a vanishing Hagedorn temperature.
title Conformal Vacuum of dS$_4\times \mathbb R$ with Oppositely Oriented Boundaries
topic High Energy Physics - Theory
url https://arxiv.org/abs/2603.13145