Holography, probe branes and isoperimetric inequalities

DOI10.1016/J.PHYSLETB.2015.06.004zbMATH Open1369.83090arXiv1411.1887OpenAlexW1874957463MaRDI QIDQ2399017

Author name not available (Why is that?)

Publication date: 21 August 2017

Published in: (Search for Journal in Brave)

Abstract: In many instances of holographic correspondences between a d dimensional boundary theory and a d+1 dimensional bulk, a direct argument in the boundary theory implies that there must exist a simple and precise relation between the Euclidean on-shell action of a (d-1)-brane probing the bulk geometry and the Euclidean gravitational bulk action. This relation is crucial for the consistency of holography, yet it is non-trivial from the bulk perspective. In particular, we show that it relies on a nice isoperimetric inequality that must be satisfied in a large class of Poincar'e-Einstein spaces. Remarkably, this inequality follows from theorems by Lee and Wang.

Full work available at URL: https://arxiv.org/abs/1411.1887

Mathematics Subject Classification ID

No records found.

This page was built for publication: Holography, probe branes and isoperimetric inequalities

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2399017)