Speaker
Mattia Cesaro
(Max Planck Institute for Gravitational Physics (AEI))
Description
The Kaluza-Klein (KK) reduction of pure $D=4$ GR along two commuting Killing isometries is well known to provide an effective $D=2$ integrable field theory. This is profoundly connected to the existence of hidden, infinite dimensional symmetries arising upon toroidal KK reductions of gravity to $D=2$. In this talk, I will show how to exploit the power of such symmetries in order to prove the integrability of a certain class of deformations of the $D=2$ model, based on the introduction of auxiliary fields. I will then comment on their possible uplifts to $D=4$.
Primary author
Mattia Cesaro
(Max Planck Institute for Gravitational Physics (AEI))
Co-author
Dr
David Osten
