Anti-de Sitter no-hair, AdS/CFT and the brane-world
Tetsuya Shiromizu (RESCEU, U.Tokyo), Daisuke Ida (RESCEU, U.Tokyo)
TL;DR
This paper investigates the asymptotic behavior of bulk spacetimes with negative cosmological constant in brane-world models, linking geometric evolution to AdS/CFT correspondence and holography.
Contribution
It demonstrates how hypersurfaces with positive Ricci scalar evolve towards AdS-like geometries and explores the holographic interpretation of brane-world stability.
Findings
Hypersurfaces with positive Ricci scalar tend to warped AdS geometries.
Positivity of Ricci scalar relates to CFT stability on the brane.
Holographic analysis of the asymptotic structure of conformal infinity.
Abstract
We study the asymptotic behavior of the bulk spacetimes with the negative cosmological constant in the context of the brane-world scenario. We show that, in Euclidean bulk, or in Lorentzian static bulk, some sequences of hypersurfaces with the positive Ricci scalar evolve to the warped geometries like the anti-de Sitter spacetime. Based on the AdS/CFT correspondence, we discuss that the positivity of the Ricci scalar is related to the stability of CFT on the brane. In addition, the brane-world is described from the holographic point of view. The asymptotic local structure of the conformal infinity is also investigated.
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.