Description
In this talk, I will discuss the correlation functions of non-local thin-shell operators, which are holographically represented by homogeneous, thin interfaces of dust particles. From a broader perspective, I will explore their relevance to the Black Hole Information Paradox, the Eigenstate Thermalization Hypothesis (ETH), and the study of non-local operators. Employing the monodromy method, I will present the Virasoro vacuum block along with its closed-form monodromy equation. While obtaining full analytical solutions to this equation remains challenging, I will demonstrate how this difficulty can be circumvented by focusing on the underlying differential equations and analyzing perturbative limits and solutions. This talk is based on [arXiv:2404.11423] and unpublished work.
