Implications of the additivity anomaly in large N field theories for holography

APA

Leutheusser, S. (2024). Implications of the additivity anomaly in large N field theories for holography. Perimeter Institute for Theoretical Physics. https://pirsa.org/24020097

MLA

Leutheusser, Samuel. Implications of the additivity anomaly in large N field theories for holography. Perimeter Institute for Theoretical Physics, Feb. 27, 2024, https://pirsa.org/24020097

BibTex

          @misc{ scivideos_PIRSA:24020097,
            doi = {10.48660/24020097},
            url = {https://pirsa.org/24020097},
            author = {Leutheusser, Samuel},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Implications of the additivity anomaly in large N field theories for holography},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2024},
            month = {feb},
            note = {PIRSA:24020097 see, \url{https://scivideos.org/pirsa/24020097}}
          }
          

Samuel Leutheusser Institute for Advanced Study (IAS) - School of Natural Sciences (SNS)

Source RepositoryPIRSA

Abstract

Holographic conformal field theories exhibit dramatic changes in the structure of their operator algebras in the limit where the number of local degrees of freedom (N) becomes infinite. An important example of such phenomena is the violation of the additivity property for algebras associated to local subregions. We investigate the consequences of this "additivity anomaly" in the context of holographic duality. We propose that the difference in volumes of bulk dual subregions can be used as a holographic measure for this additivity anomaly of large N boundary algebras. We demonstrate how the additivity anomaly underlies the success of quantum error correcting code models of holography. Finally, we argue that the connected wedge theorems (CWTs) of May, Penington, Sorce, and Yoshida can be re-phrased in terms of the additivity anomaly, allowing for the definition of a generalized scattering region for which a generalization of the CWTs can be formulated such that both the theorem and its converse should hold.

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