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Edge length dynamics on graphs with applications to p-adic AdS/CFT

Author(s): Gubser, Steven S; Heydeman, Matthew; Jepsen, Christian; Marcolli, Matilde; Parikh, Sarthak; et al

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dc.contributor.authorGubser, Steven S-
dc.contributor.authorHeydeman, Matthew-
dc.contributor.authorJepsen, Christian-
dc.contributor.authorMarcolli, Matilde-
dc.contributor.authorParikh, Sarthak-
dc.contributor.authorSaberi, Ingmar-
dc.contributor.authorStoica, Bogdan-
dc.contributor.authorTrundy, Brian-
dc.date.accessioned2017-11-21T19:35:38Z-
dc.date.available2017-11-21T19:35:38Z-
dc.date.issued2017-06en_US
dc.identifier.citationGubser, Steven S, Heydeman, Matthew, Jepsen, Christian, Marcolli, Matilde, Parikh, Sarthak, Saberi, Ingmar, Stoica, Bogdan, Trundy, Brian. (2017). Edge length dynamics on graphs with applications to p-adic AdS/CFT. JOURNAL OF HIGH ENERGY PHYSICS, 10.1007/JHEP06(2017)157en_US
dc.identifier.issn1029-8479-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1336c-
dc.description.abstractWe formulate a Euclidean theory of edge length dynamics based on a notion of Ricci curvature on graphs with variable edge lengths. In order to write an explicit form for the discrete analog of the Einstein-Hilbert action, we require that the graph should either be a tree or that all its cycles should be sufficiently long. The infinite regular tree with all edge lengths equal is an example of a graph with constant negative curvature, providing a connection with p-adic AdS/CFT, where such a tree takes the place of anti-de Sitter space. We compute simple correlators of the operator holographically dual to edge length fluctuations. This operator has dimension equal to the dimension of the boundary, and it has some features in common with the stress tensor.en_US
dc.format.extent1-35en_US
dc.language.isoenen_US
dc.relation.ispartofJOURNAL OF HIGH ENERGY PHYSICSen_US
dc.rightsFinal published version. This is an open access article.en_US
dc.titleEdge length dynamics on graphs with applications to p-adic AdS/CFTen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1007/JHEP06(2017)157-
dc.date.eissued2017-06-30en_US
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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