GRASS Seminar: Integrable systems as the asymptotic dynamics of AdS_3 gravity

January 21, 2025
3:00pm to 4:00pm

IFT Seminar Room/Red Room

Specialist level
Speaker: 
Marcela Cárdenas
Institution: 
Universidad San Sebastián, Santiago, Chile
Location&Place: 

IFT Seminar Room/Red Room

Abstract: 

In this talk we discuss the construction of a broad class of asymptotic conditions for the gravitational field in three dimensions that reproduce the properties of the Ablowitz-Kaup-Newell-Segur (AKNS) integrable system. This implies the geometric realization of e.g. the Korteweg de-Vries (KDV), modified KDV, Sine-Gordon and non-linear Schrödinger equations, among others. We study the asymptotic symmetry algebra and integrability properties of the canonical charges associated with these boundary conditions. We show the existence of 3-dimensional black holes in this framework.