Séminaire des doctorants

Integrability in Asymptotic Symmetries of Spacetime

par Corentin Vitel (IMB)

Europe/Paris
318

318

Description

4D gravity is not fully integrable. Nevertheless, one may hope that certain sectors are. In this spirit, we consider gravitational asymptotic symmetries, namely transformations of spacetime coordinates that leave the large-scale behavior of the gravitational field invariant. Such transformations are described by the so-called BMS group. While subtleties do persist in four dimensions, the three-dimensional case offers an appealing playground. There, we uncover the presence of an integrable hierarchy.