On the Topological Charges of Affine Toda Solitons

Abstract

We provide a proof of a formula conjectured in OU93 for some coefficients relevant in the principal vertex operator construction of a simply-laced affine algebra . These coefficients are important for the study of the topological charges of the solitons of affine Toda theories, and the construction of representations of non-simply-laced and their associated Toda solitons.

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