Daniele Pranzetti

TL;DR: In this paper, a detailed analysis of the spherically symmetric isolated horizon system is performed in terms of the connection formulation of general relativity, and the system is shown to admit a manifestly SU(2) invariant formulation where the effective horizon degrees of freedom are described by an SU (2) Chern-Simons theory.

TL;DR: In this article, the classical and quantum nature of edge modes and symmetries in gravity systems is investigated. But the main focus of this paper is to understand how different formulations of gravity provide non-trivial representations of different sectors of the corner symmetry algebra, and set the foundations of a new proposal for states of quantum geometry as representation states of this corner algebra.

TL;DR: In this paper, the classical and quantum nature of edge modes and symmetries in gravity systems has been investigated and a new proposal for states of quantum geometry as representation states of the corner symmetry algebra has been made.

TL;DR: Weyl BMSW as mentioned in this paper is an extension of the BMS group, which includes super-translations, local Weyl rescalings and arbitrary diffeomorphisms of the 2D sphere metric.

TL;DR: In this article, a generalisation of the Gibbons-Hawking boundary term including the Immirzi parameter is introduced, which leads to an unprecedented type of degrees of freedom coming from the restoration of the gauge and diffeomorphism symmetry at the boundary.