Holographic $T\bar{T}$ deformed entanglement entropy in dS${}_3$/CFT${}_2$

Abstract

In this paper, based on the $T\bar{T}$ deformed version of ${\text{dS}}_3/{\text{CFT}}_2$ correspondence, we calculate the pseudoentropy for an entangling surface consisting of two antipodal points on a sphere and find it is exactly dual to the complex geodesic in the bulk.

v1: 10 pages, 1 figure; v2: reference added; v3: accepted by PRD