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PreprintCC BY 4.0arXiv

Testing holographic computation of entanglement pseudo-entropy in dS3/ICFT2

Abstract

We establish a bottom-up model for studying the `would-be' de-Sitter/interface CFT (dS/ICFT) correspondence on the gravity side, using the Coleman-De Luccia instanton. After absorbing the region where the inflaton changes dramatically by a brane, the spacetime consists of two de Sitter spacetimes with different radii joined by a brane, which is expected to be dual to an interface CFT provided that the dS/CFT conjecture is correct. Our goal is to analyze existing prescriptions for the holographic computation of pseudo-entropy, i.e. the extremal surface in such a spacetime and argue that some of them would cause parodox with the results expected the universal properties of interface CFT and compare our results with that of Anti de Sitter/interface CFT correspondence (AdS/ICFT) after analytic continuation. We also read off the g-function from the entanglement entropy associated with a subregion perpendicular to the interface.

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BibTeX
@misc{li2026testing,
  title = {{Testing holographic computation of entanglement pseudo-entropy in dS3/ICFT2}},
  author = {Liang Li},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.26997},
  eprint = {2608.26997},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.26997},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Testing holographic computation of entanglement pseudo-entropy in dS3/ICFT2
AU  - Liang Li
PY  - 2026
DA  - 2026/09/13
PB  - arXiv
DO  - 10.48550/arxiv.2608.26997
UR  - https://arxiv.org/abs/2608.26997
AB  - We establish a bottom-up model for studying the `would-be' de-Sitter/interface CFT (dS/ICFT) correspondence on the gravity side, using the Coleman-De Luccia instanton. After absorbing the region where the inflaton changes dramatically by a brane, the spacetime consists of two de Sitter spacetimes with different radii joined by a brane, which is expected to be dual to an interface CFT provided that the dS/CFT conjecture is correct. Our goal is to analyze existing prescriptions for the holographic computation of pseudo-entropy, i.e. the extremal surface in such a spacetime and argue that some of them would cause parodox with the results expected the universal properties of interface CFT and compare our results with that of Anti de Sitter/interface CFT correspondence (AdS/ICFT) after analytic continuation. We also read off the g-function from the entanglement entropy associated with a subregion perpendicular to the interface.
ER  -