Standard Subspaces in Quantum Field Theory and Representation Theory

Adamo MS, Lechner G, Longo R, Neeb KH (2024)

Publication Language: English

Publication Status: Accepted

Publication Type: Unpublished / Preprint

Subtype: other

Future Publication Type: Edited Volume

Publication year: 2024

Edited Volumes: Oberwolfach Reports

Event location: Oberwolfach

URI: https://publications.mfo.de/handle/mfo/4092

DOI: 10.14760/OWR-2023-50

Abstract

Real standard subspaces of complex Hilbert spaces are long known to provide the right language for Tomita-Takesaki modular theory of von Neumann algebras. In recent years they have also become an object of prominent interest in mathematical quantum field theory (QFT) and unitary representation theory of Lie groups. This workshop brought together mathematicians and physicists working with standard subspaces, particularly in QFT (construction of QFT models, characterization of entropy, information-theoretic aspects), nets of standard subspaces on causal homogeneous spaces and aspects of reflection positivity and euclidean models related to standard subspaces and modular theory.

Authors with CRIS profile

Gandalf Lechner Lehrstuhl für Mathematik (Operatoralgebren) Karl Hermann Neeb Lehrstuhl für Mathematik (Lie-Gruppen und Darstellungstheorie)

Involved external institutions

Università degli studi "La Sapienza" IT Italy (IT) Università degli Studi di Roma 'Tor Vergata' IT Italy (IT)

How to cite

APA:

Adamo, M.S., Lechner, G., Longo, R., & Neeb, K.H. (2024). Standard Subspaces in Quantum Field Theory and Representation Theory. (Unpublished, Accepted).

MLA:

Adamo, Maria Stella, et al. Standard Subspaces in Quantum Field Theory and Representation Theory. Unpublished, Accepted. 2024.

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