Oleg Evnin (Chula University, Bangkok and Solvay Institutes, Brussels): Weak fields and effective integrability in AdS
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Europe/Budapest
Tanacsterem
Tanacsterem
Description
I will start with a bit of general review of the AdS stability program
exploring the elaborate nonlinear dynamics of small perturbations in
Anti-de Sitter spacetime. The main mathematical tool for these
investigations is nonlinear perturbation theory based on application
of the time-averaging method. I will then focus on a specific simple
realization of this setup (conformally coupled self-interacting probe
scalar in AdS), for which the resulting effective time-averaged
dynamics displays remarkable features connecting to the "cubic Szegő
equation" (actively studied in the current math literature) and
suggestive of integrability.
