Holographic TTˉT\bar{T} deformed entanglement entropy in dS3_3/CFT2_2

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.Comment: v1: 10 pages, 1 figure; v2: reference adde

Attractive interactions in the microstructures of asymptotically flat black holes

In this work, we investigate the microstructure of asymptotically flat black holes with Ruppeiner curvature. Specially, the cosmological constant is considered to have a fluctuation around 0. Under such consideration, both repulsive and attractive interactions are found in the Reissner-Nordstr\"om and Kerr black holes, while the Schwarzschild black hole has dominant attractive interaction. The result obtained is quite different from that of excluding the fluctuation of cosmological constant, where these black holes are found to be always characterised by repulsive interaction.Comment: 17 pages, 3 figure