Researchers have developed a bottom-up model to study the de Sitter/interface CFT (dS/ICFT) correspondence on the gravity side, utilizing the Coleman-De Luccia instanton. This model describes a spacetime composed of two de Sitter spaces with different radii, joined by a brane. This configuration is expected to be dual to an interface CFT, assuming the validity of the dS/CFT conjecture. The work focuses on analyzing existing prescriptions for the holographic computation of pseudo-entropy within this context.

The study aims to identify potential paradoxes that would arise from applying certain pseudo-entropy calculation prescriptions, in contrast to the expected universal properties of an interface CFT. The results are compared with those obtained in the Anti de Sitter/interface CFT (AdS/ICFT) correspondence via analytic continuation. Furthermore, the g-function is derived from the entanglement entropy associated with a subregion perpendicular to the interface.

This advance is significant for understanding holographic dualities in de Sitter spaces, which are relevant for cosmological models. Exploring pseudo-entropy within this framework could offer new insights into quantum information in expanding universes and the connection between gravity and quantum field theory in these environments.