Universality of pseudoentropy for deformed spheres in dS/CFT

Fuente: arXiv
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Auteurs principaux: Anastasiou, Giorgos, Araya, Ignacio J., Das, Avijit, Moreno, Javier
Format: Preprint
Publié: 2025
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author Anastasiou, Giorgos
Araya, Ignacio J.
Das, Avijit
Moreno, Javier
author_facet Anastasiou, Giorgos
Araya, Ignacio J.
Das, Avijit
Moreno, Javier
contents We determine the universal part of pseudoentropy for small shape deformations of spherical entangling surfaces in the context of de Sitter/conformal field theory (dS/CFT) correspondence. The leading correction at quadratic order in the deformation parameter is controlled by the coefficient of the two-point stress-energy tensor correlator, $C_T$, of the non-unitary dual CFT, and it retains the sign of the unperturbed result, thereby establishing the sphere as a local extremum. The same structure holds in higher-curvature theories, as we check explicitly for quadratic curvature gravity, suggesting a universal behavior across non-unitary holographic CFTs. Our findings extend the Mezei formula to the dS/CFT setting and indicate that the shape dependence of pseudoentropy in dS holography resembles that of entanglement entropy in AdS space.
format Preprint
id arxiv_https___arxiv_org_abs_2512_02164
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Universality of pseudoentropy for deformed spheres in dS/CFT
Anastasiou, Giorgos
Araya, Ignacio J.
Das, Avijit
Moreno, Javier
High Energy Physics - Theory
We determine the universal part of pseudoentropy for small shape deformations of spherical entangling surfaces in the context of de Sitter/conformal field theory (dS/CFT) correspondence. The leading correction at quadratic order in the deformation parameter is controlled by the coefficient of the two-point stress-energy tensor correlator, $C_T$, of the non-unitary dual CFT, and it retains the sign of the unperturbed result, thereby establishing the sphere as a local extremum. The same structure holds in higher-curvature theories, as we check explicitly for quadratic curvature gravity, suggesting a universal behavior across non-unitary holographic CFTs. Our findings extend the Mezei formula to the dS/CFT setting and indicate that the shape dependence of pseudoentropy in dS holography resembles that of entanglement entropy in AdS space.
title Universality of pseudoentropy for deformed spheres in dS/CFT
topic High Energy Physics - Theory
url https://arxiv.org/abs/2512.02164