Seminarium Teorii Względności i Grawitacji

In this seminar I will spell out a new program for quantum gravity, grounded in the notion of corner symmetry algebra and its representations. This requires the understanding of the classical and quantum nature of edge modes and symmetries in gravitational systems. The goal of this analysis is to: i) achieve a clear understanding of how different formulations of gravity provide non-trivial representations of different sectors of the corner symmetry algebra, and ii) set the foundations of a new proposal for states of quantum geometry as representation states of this corner symmetry algebra. In the first part, I will explain how different formulations of gravity, in both metric and tetrad variables, share the same bulk symplectic structure but differ at the corner, and in turn lead to inequivalent representations of the corner symmetry algebra. In the second part, I will perform a detailed analysis of the corner symplectic potential and symmetries of Einstein-Cartan-Holst gravity, use this to provide a new look at the simplicity constraints, and tackle the quantization. Zoom meeting ID: 814 7211 6408 Passcode: 795365