PIRSA:23070004

Talk 44 - Large N von Neumann Algebras and the renormalization of Newton's constant

Gesteau, E. (2023). Talk 44 - Large N von Neumann Algebras and the renormalization of Newton's constant. Perimeter Institute. https://pirsa.org/23070004

Gesteau, Elliott. Talk 44 - Large N von Neumann Algebras and the renormalization of Newton's constant. Perimeter Institute, Jul. 31, 2023, https://pirsa.org/23070004 

          @misc{ pirsa_PIRSA:23070004,
            doi = {10.48660/23070004},
            url = {https://pirsa.org/23070004},
            author = {Gesteau, Elliott},
            keywords = {Quantum Fields and Strings, Quantum Foundations, Quantum Information},
            language = {en},
            title = {Talk 44 - Large N von Neumann Algebras and the renormalization of Newton{\textquoteright}s constant},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {jul},
            note = {PIRSA:23070004 see, \url{https://pirsa.org}}
          }

Elliott Gesteau

California Institute of Technology (Caltech)

Talk number
PIRSA:23070004
Collection
Talk Type
Subject
Abstract
In holography, the quantum extremal surface formula relates the entropy of a boundary state to the sum of two terms: the area term and the entropy of bulk fields inside the entanglement wedge. As the bulk effective field theory suffers from UV divergences, the second term must be regularized. It has been conjectured since the work of Susskind and Uglum that the renormalization of Newton’s constant in the area term exactly cancels the difference between different choices of regularization for bulk entropy. In this talk, I will explain how the recent developments on von Neumann algebras appearing in the large N limit of holography allow to prove this claim within the framework of holographic quantum error correction, and to reinterpret it as an instance of the ER=EPR paradigm. This talk is based on the paper arXiv:2302.01938.