Skip to main content

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

To refer to this page use:
Abstract: We 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.
Publication Date: Jun-2017
Electronic Publication Date: 30-Jun-2017
Citation: Gubser, 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)157
DOI: doi:10.1007/JHEP06(2017)157
ISSN: 1029-8479
Pages: 1-35
Type of Material: Journal Article
Version: Final published version. This is an open access article.

Items in OAR@Princeton are protected by copyright, with all rights reserved, unless otherwise indicated.