The sound of topology in the AdS/CFT correspondence

Igal Arav*, Yaron Oz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Using the gauge/gravity correspondence, we study the properties of 2-point correlation functions of finite-temperature strongly coupled gauge field theories, defined on a curved space of general spatial topology with a dual black hole description. We derive approximate asymptotic expressions for the correlation functions and their poles, supported by exact numerical calculations, and study their dependence on the dimension of spacetime and the spatial topology. The asymptotic structure of the correlation functions depends on the relation between the spatial curvature and the temperature, and is noticeable when they are of the same order. In the case of a hyperbolic topology, a specific temperature is identied for which exact analytical solutions exist for all types of perturbations. The asymptotic structure of the correlation functions poles is found to behave in a non-smooth manner when approaching this temperature.

Original languageEnglish
Article number14
JournalJournal of High Energy Physics
Issue number11
StatePublished - 2012


  • AdS-CFT Correspondence
  • Black Holes


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