PIRSA:26020049

Quantum Corner Algebra(s): A Proposal

Kowalski-Glikman, J. (2026). Quantum Corner Algebra(s): A Proposal. Perimeter Institute. https://pirsa.org/26020049

Kowalski-Glikman, Jerzy. Quantum Corner Algebra(s): A Proposal. Perimeter Institute, Feb. 26, 2026, https://pirsa.org/26020049 

          @misc{ pirsa_PIRSA:26020049,
            doi = {10.48660/26020049},
            url = {https://pirsa.org/26020049},
            author = {Kowalski-Glikman, Jerzy},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Quantum Corner Algebra(s): A Proposal},
            publisher = {Perimeter Institute},
            year = {2026},
            month = {feb},
            note = {PIRSA:26020049 see, \url{https://pirsa.org}}
          }

Jerzy Kowalski-Glikman University of Wrocław

Talk numberPIRSA:26020049
DOI10.48660/26020049
Collection
Talk Type Scientific Series
Subject

Abstract

In this talk, I will argue that the universal structure of the corner algebra offers a new perspective on quantum gravity, in which the representation theory of this algebra plays a role as fundamental as that of the Poincaré algebra in quantum field theory. I will discuss the representation theory of the (quantum) universal and extended corner symmetries in a simplified model of spherically symmetric spacetimes, where the corner reduces to a point and the algebra correspondingly simplifies. Furthermore, I will propose a purely algebraic procedure for gluing regions in the quantum theory, compute the entanglement entropy, and derive the entropy–area law for a class of specific coherent states.