Speaker
Description
In a recent series of papers, e.g. (Das, Krishnan, Kumar and Kundu, 2023), (Das, Garg, Krishnan and Kundu, 2023), (Das and Kundu, 2024), it was noted that the spectral form factor, defined for massless scalar field normal modes on the BTZ black hole background with a stretched horizon, exhibits the dip-ramp-plateau structure. This is exactly the same structure of the spectral form factor that observed for ensembles of random matrices. Normal modes are understood as the scalar field modes on the curved background with a Dirichlet boundary condition imposed at the horizon instead of the usual infalling boundary condition for quasi-normal modes. In this talk, we present the results where we have extended the analysis by considering massive scalar on the non-rotating and rotating BTZ backgrounds, the de Sitter case as well as the generalized spectral form factor that allows to take into account correlations between several levels, rather than two levels as in the standard definition.
