CFT fusion rules, DHR gauge groups, and CAR algebras

Details CFT fusion rules, DHR gauge groups, and CAR algebras CFT fusion rules, DHR gauge groups, and CAR algebras

1997-05-07

arxiv.org/abs/hep-th/9705039v1

J.Phys.A31:3503-3522,1998

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, LaTeX2e

Scientific paper

10.1088/0305-4470/31/15/015

It is demonstrated that several series of conformal field theories, while satisfying braid group statistics, can still be described in the conventional setting of the DHR theory, i.e. their superselection structure can be understood in terms of a compact DHR gauge group. Besides theories with only simple sectors, these include (the untwisted part of) c=1 orbifold theories and level two so(N) WZW theories. We also analyze the relation between these models and theories of complex free fermions.

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