Aspects of Codimension two Holography in de Sitter Space

Abstract

Following \cite{Yadav:2024ray} we embark on a further study of the codimension two holography in de Sitter (dS) space. The $d$ dimensional bulk dS space is sliced by two end of the world $(d-1)$ dimensional branes which are bestowed with either Lorentzian dS or Euclidean AdS metric joining at a common $(d-2)$ dimensional space where the dual CFT lives. Through explicit computations of the holographic entanglement entropy, partition function, and Renyi entropy in both slicings for the bulk dS space emphasizing their similarities as well as differences we provide further evidence for this duality. We also make comments on further generalization of the codimension two holography.