Subfactors and coset models

TL;DR

This paper explores the relationship between subfactors, coset models, and local quantum field theory, highlighting the role of von Neumann algebras, superselection sectors, and conformal embeddings in understanding symmetries.

Contribution

It introduces a framework connecting subfactors and coset models within local quantum field theory, emphasizing the symmetry concepts involved.

Findings

Von Neumann algebra facts applied to quantum field theory

Intertwining of superselection sectors with braid group statistics

Examples include conformal embeddings and coset models

Abstract

Some facts about von Neumann algebras and finite index inclusions of factors are viewed in the context of local quantum field theory. The possibility of local fields intertwining superselection sectors with braid group statistics is explored. Conformal embeddings and coset models serve as examples. The associated symmetry concept is pointed out.