Sezione
HEP Colloquia 2025
by
→
Europe/Rome
Sala Consiliare (Department of Physics)
Sala Consiliare
Department of Physics
Description
From Corner Proposal to Emergence of the Area Law
In this talk, I will present the construction of the corner algebra associated with a region, emphasizing its analogy with the Poincaré algebra in Quantum Field Theory. I will then turn to the toy model of two-dimensional quantum gravity, illustrating how segments can be cut and glued. Building on this framework, I will show how to compute the entanglement entropy between a segment and its complement. Finally, by exploiting the relation between two-dimensional gravity and spherically symmetric four-dimensional spacetimes, I will demonstrate that, in an appropriate semiclassical limit, the resulting entanglement entropy reproduces the Bekenstein–Hawking area law.
Organised by
Prof. Umberto D'Alesio - umberto.dalesio@ca.infn.it
Dr. Nanako Kato - nanako.kato@dsf.unica.it
Contact