Holography, probe branes and isoperimetric inequalities


Autoria(s): Ferrari, Frank; Rovai, Antonin
Data(s)

01/07/2015

Resumo

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 Poincaré-Einstein spaces. Remarkably, this inequality follows from theorems by Lee and Wang.

SCOPUS: ar.j

info:eu-repo/semantics/published

Formato

1 full-text file(s): application/pdf

Identificador

uri/info:doi/10.1016/j.physletb.2015.06.004

uri/info:pii/S0370269315004268

https://dipot.ulb.ac.be/dspace/bitstream/2013/230558/1/Elsevier_214185.pdf

http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/230558

Idioma(s)

en

Direitos

1 full-text file(s): info:eu-repo/semantics/restrictedAccess

Fonte

Physics letters. Section B, 747

Palavras-Chave #Physique atomique et nucléaire
Tipo

info:eu-repo/semantics/article

info:ulb-repo/semantics/articlePeerReview

info:ulb-repo/semantics/openurl/article