
TL;DR
This paper explores a holographic correspondence at black hole and de Sitter horizons, revealing conformal symmetries and reconstructing bulk spacetime from horizon data, suggesting a new perspective on horizon physics.
Contribution
It introduces a holographic framework relating horizon data to bulk spacetime, including new solutions with non-spherical horizons and horizon conformal symmetry analysis.
Findings
Identifies a conformal symmetry at horizons similar to AdS/CFT.
Reconstructs bulk metrics from horizon data, including non-spherical horizons.
Discusses horizon entropy and potential links to conformal field theories.
Abstract
A holographic correspondence between data on horizon and space-time physics is investigated. We find similarities with the AdS/CFT correspondence, based on the observation that the optical metric near the horizon describes a Euclidean asymptotically anti-de Sitter space. This picture emerges for a wide class of static space-times with a non-degenerate horizon, including Schwarzschild black holes as well as de Sitter space-time. We reveal a asymptotic conformal symmetry at the horizon. We compute the conformal weights and 2-point functions for a scalar perturbation and discuss possible connections with a (non-unitary) conformal field theory located on the horizon. We then reconstruct the scalar field and the metric from the data given on the horizon. We show that the solution for the metric in the bulk is completely determined in terms of a specified metric on the horizon. From the…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
