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Universality of pseudoentropy for deformed spheres in dS/CFT

High Energy Physics - Theory 2025-12-03 v1

Abstract

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, CTC_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.

Keywords

Cite

@article{arxiv.2512.02164,
  title  = {Universality of pseudoentropy for deformed spheres in dS/CFT},
  author = {Giorgos Anastasiou and Ignacio J. Araya and Avijit Das and Javier Moreno},
  journal= {arXiv preprint arXiv:2512.02164},
  year   = {2025}
}

Comments

7 pages, 2 figures