Geometric interpretation of the Poisson structure in affine Toda field theories

Details Geometric interpretation of the Poisson structure in affine Toda field theories Geometric interpretation of the Poisson structure in affine Toda field theories

1996-06-27

arxiv.org/abs/q-alg/9606023v2

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, AMSLATEX

Scientific paper

We express the Poisson brackets of local fields of the affine Toda field
theories in terms of the Drinfeld-Sokolov dressing operator. For this, we
introduce a larger space of fields, containing ``half screening charges'' and
``half integrals of motions''. In addition to local terms, the Poisson brackets
contain nonlocal terms related to trigonometric r-matrices.

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