A note on Centaur geometry -- probing IR de Sitter spacetime holography

TL;DR

This paper investigates a novel 'Centaur' geometry in JT gravity, combining asymptotic AdS with an IR dS bubble, and analyzes its holographic dual by calculating the density of states, revealing IR degree of freedom reduction.

Contribution

It introduces and analyzes a new Centaur geometry in JT gravity with a dS bubble, providing insights into IR modifications of holographic duals.

Findings

Density of states computed analytically in the classical limit.

IR degrees of freedom are reduced due to the dS bubble.

Geometry offers a new perspective on IR de Sitter holography.

Abstract

We explore a Centaur geometry in JT gravity, which is an asymptotically AdS spacetime but in the IR admits a dS bubble with another AdS geometry in the deep IR. Thus, this geometry admits a holographic dual in the sense that it is asymptotically AdS. In an attempt to understand this geometry, we calculate the density of states of the putative boundary dual for such mixed geometries by evaluating the on-shell action. We compute the density of states analytically in the classical limit. The resultant density of states suggest that the degrees of freedom in the IR are reduced in such a putative boundary theory due to the IR modification corresponding to the dS bubble.