Abstract

We construct soliton operators for the Wess-Zumino-Witten (WZW) model with a chiral O(N)\ifmmode\times\else\texttimes\fi{}O(N) invariance, and use them to derive non-Abelian bosonization properties directly. The soliton operators express the fermion fields as nonlocal functions of the boson currents and provide a direct map from the boson to the fermion fields. With them we determine the fermion equivalent Lagrangian for level k=N together with the fermion bilinears equivalent to the boson fields. We generalize this construction to arbitrary values of the coupling constant and find the equivalent fermion model, which has current-current interactions.

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