Higher level WZW sectors from free fermions
- II. Institut fuer Theoretische Physik, Universitaet Hamburg, Luruper Chaussee 149, D-22761, Hamburg (Germany)
- DESY, Notkestrae 85, D-22603, Hamburg (Germany)
We introduce a gauge group of internal symmetries of an ambient algebra as a new tool for investigating the superselection structure of WZW theories and the representation theory of the corresponding affine Lie algebras. The relevant ambient algebra arises from the description of these conformal field theories in terms of free fermions. As an illustration we analyze in detail the so(N) WZW theories at level two, which allows us in particular to construct explicit bases for the level-two irreducible highest weight modules. In this case there is actually a homomorphism from the representation ring of the gauge group to the subring of the WZW fusion ring that corresponds to the Neveu{endash}Schwarz sector, even though the level-two observable algebra is smaller than the gauge invariant subalgebra of the field algebra. {copyright} {ital 1997 American Institute of Physics.}
- OSTI ID:
- 467250
- Journal Information:
- Journal of Mathematical Physics, Vol. 38, Issue 3; Other Information: PBD: Mar 1997
- Country of Publication:
- United States
- Language:
- English
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