Luca Ciambell (ULB), Building the Corner Proposal

Wednesday 18 May 2022, 11:00 → 12:00 Europe/Stockholm

Albano 3: 6228 - Mega (22 seats) (Albano Building 3)

Title: Building the Corner Proposal

Abstract: There is more and more evidence that a complete understanding of symmetries in classical gravity could give insights and constraints on the quantum theory. In this talk, I present a collection of recent results on classical symmetries of gravity, and discuss future avenues of investigation. We first derive a universal subalgebra of diffeomorphisms that acts non-trivially on the field space at corners (codim-2 surfaces on which charges have support). The charges associated to this algebra are then shown to be always integrable, if a suitable extended covariant phase space is introduced. We then construct the correct geometric framework -- affine bundle associated with Atiyah Lie algebroid -- to intrinsically define the algebra at corners, without referring to a classical bulk manifold. Time permitting, we pursue our study of symmetries applying Kirillov orbit method to the universal algebra.