Bonn 2020 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 11: AdS/CFT: Complexity
MP 11.2: Talk
Wednesday, April 1, 2020, 14:35–14:55, H-HS I
Virasoro complexity and circuits as geodesic motion in infinite dimensions — •Mario Flory1 and Michał P. Heller2 — 1Institute of Physics, Jagiellonian University, 30-348 Kraków, Poland — 2Albert Einstein Institute, 14476 Potsdam, Germany
We utilize the Fubini-Study metric in order to define a notion of distance and hence circuit complexity on the Virasoro group. The resulting problem is mathematically equivalent to geodesic motion in infinite dimensions, with integro-differential equations of motion. We discuss the properties of these equations and of their solutions.