$A_n^{(1)}$ Toda Solitons: a Relation between Dressing transformations and Vertex Operators
solv-int
2016-09-08 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
Affine Toda equations based on simple Lie algebras arise by imposing zero curvature condition on a Lax connection which belongs to the corresponding loop Lie algebra in the principal gradation. In the particular case of Toda models, we exploit the symmetry of the underlying linear problem to calculate the dressing group element which generates arbitrary -soliton solution from the vacuum. Starting from this result we recover the vertex operator representation of the soliton tau functions.
Keywords
Cite
@article{arxiv.solv-int/9808001,
title = {$A_n^{(1)}$ Toda Solitons: a Relation between Dressing transformations and Vertex Operators},
author = {H. Belich and R. Paunov},
journal= {arXiv preprint arXiv:solv-int/9808001},
year = {2016}
}
Comments
17 pages, Latex, Talk given at the IV International Conference on Non Associative Algebra and its Applications, University of Sao Paulo, July 19-24, 1988