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Holography, probe branes and isoperimetric inequalities

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dc.contributor.author Ferrari, Frank
dc.contributor.author Rovai, Antonin
dc.date.accessioned 2015-08-24T15:59:59Z
dc.date.available 2015-08-24T15:59:59Z
dc.date.issued 2015-06
dc.date.submitted 2015-05
dc.identifier.issn 03702693
dc.identifier.uri http://hdl.handle.net/1721.1/98204
dc.description.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 Poincaré–Einstein spaces. Remarkably, this inequality follows from theorems by Lee and Wang. en_US
dc.description.sponsorship Deutsche Forschungsgemeinschaft (Collaborative Research Center TRR 33) en_US
dc.description.sponsorship Deutsche Forschungsgemeinschaft (Cluster of Excellence "Origin and Structure of the Universe") en_US
dc.description.sponsorship Belgian American Educational Foundation, Inc. en_US
dc.language.iso en_US
dc.publisher Elsevier en_US
dc.relation.isversionof http://dx.doi.org/10.1016/j.physletb.2015.06.004 en_US
dc.rights Creative Commons Attribution en_US
dc.rights.uri http://creativecommons.org/licenses/by/4.0/ en_US
dc.source Elsevier en_US
dc.title Holography, probe branes and isoperimetric inequalities en_US
dc.type Article en_US
dc.identifier.citation Ferrari, Frank, and Antonin Rovai. “Holography, Probe Branes and Isoperimetric Inequalities.” Physics Letters B 747 (July 2015): 212–216. en_US
dc.contributor.department Massachusetts Institute of Technology. Laboratory for Nuclear Science en_US
dc.contributor.department Massachusetts Institute of Technology. Center for Theoretical Physics en_US
dc.contributor.mitauthor Rovai, Antonin en_US
dc.relation.journal Physics Letters B en_US
dc.identifier.mitlicense PUBLISHER_CC en_US
dc.eprint.version Final published version en_US
dc.type.uri http://purl.org/eprint/type/JournalArticle en_US
eprint.status http://purl.org/eprint/status/PeerReviewed en_US
dspace.orderedauthors Ferrari, Frank; Rovai, Antonin en_US


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