Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-09-27
Commun.Math.Phys. 174 (1995) 605-634
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX-file, 26 pages, no figures
Scientific paper
Pairs $\aa \subset \bb$ of local quantum field theories are studied, where $\aa$ is a chiral conformal \qft and $\bb$ is a local extension, either chiral or two-dimensional. The local correlation functions of fields from $\bb$ have an expansion with respect to $\aa$ into \cfb s, which are non-local in general. Two methods of computing characteristic invariant ratios of structure constants in these expansions are compared: $(a)$ by constructing the monodromy \rep of the braid group in the space of solutions of the Knizhnik-Zamolodchikov differential equation, and $(b)$ by an analysis of the local subfactors associated with the extension with methods from operator algebra (Jones theory) and algebraic quantum field theory. Both approaches apply also to the reverse problem: the characterization and (in principle) classification of local extensions of a given theory.
Rehren Karl-Henning
Stanev Ya . S.
Todorov Ivan T.
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