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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 10: AdS/CFT
MP 10.2: Vortrag
Donnerstag, 21. März 2024, 10:00–10:20, HL 001
Constant intrinsic curvature surfaces in AdS/CFT — •Mario Flory1, Ramesh Chandra2, Jan de Boer2, Michal Heller3, Sergio Hörtner4, and Andrew Rolph2 — 1Jagiellonian University — 2University of Amsterdam — 3Ghent University — 4Max Planck Institute for Gravitational Physics
More than 130 years ago, Jean-Gaston Darboux remarked that surfaces of constant extrinsic curvature seem to play a much more prominent role in mathematical physics than surfaces of constant intrinsic (Gaussian) curvature. At least in the AdS/CFT correspondence, this observation seems to hold true to this day, as evidenced e.g. by the success of the Ryu-Takayanagi formula. Here, motivated by recent studies of so called holographic complexity measures and their connection with the gravitational action, I will comment on a possible role that constant intrinsic curvature surfaces might play in the holographic dictionary. I will also show how such surfaces can be constructed particularly easily in an AdS3 background.
Keywords: AdS/CFT; Holography; Gravity