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arXiv · 2512.02164

Universality of pseudoentropy for deformed spheres in dS/CFT

Giorgos Anastasiou·Ignacio J. Araya·Avijit Das·Javier Moreno
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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 analytic continuation of the coefficient of the two-point stress-energy tensor correlator in AdS/CFT (i.e., $\left. L_{*} \right|_{\text{AdS}}\rightarrow -i \left. L_{*} \right|_{\text{dS}}$), 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. Thus, we conjecture this coefficient to be the $C_T$ for the non-unitary CFT dual.

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Giorgos Anastasiou, Ignacio J. Araya, Avijit Das, Javier Moreno. 2025-12-01. Universality of pseudoentropy for deformed spheres in dS/CFT. https://arxiv.org/abs/2512.02164

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