Holography, probe branes and isoperimetric inequalities
Data(s) |
01/07/2015
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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 |