Corner Conjecture for Quantum Gravity

by Jerzy Kowalski-Glikman

Wednesday 26 Mar 2025, 16:00 → 17:00 Europe/Rome

0M03

In my talk, I will begin by introducing the emergence of the Universal Corner Algebra (UCA), a universal algebra of symmetries associated with corners (the boundaries of regions), within the context of classical General Relativity (GR). I will then argue that the UCA should play a role in Quantum Gravity similar to the role the Poincaré algebra plays in quantum field theory. Moving on to a two-dimensional example, I will explain how the UCA acquires a central extension in quantum theory and explore how the resulting representation theory of Quantum Corner Algebra can be used to combine two regions into one. Additionally, I will demonstrate how these representations can be applied to compute the entanglement entropy of two regions and speculate on how this might be used to reconstruct the semiclassical spacetime.