Vertex Operator Representation of the Soliton Tau Functions in the A ( 1 ) n Toda Models by Dressing Transformations

  • H . Belich, G . Cuba, R . Paunov
  • Published 1997

Abstract

We study the relation between the group–algebraic approach and the dressing symmetry one to the soliton solutions of the A (1) n Toda field theory in 1 + 1 dimensions. Originally solitons in the affine Toda models has been found by Olive, Turok and Underwood. Single solitons are created by exponentials of elements which ad–diagonalize the principal Heisenberg subalgebra. Alternatively Babelon and Bernard exploited the dressing symmetry to reproduce the known expressions for the fundamental tau functions in the sine–Gordon model. In this paper we show the equivalence between these two methods to construct solitons in the A (n) n Toda models. E–mail address belich@cbpfsu1.cat.cbpf.br E–mail address gcubac@cbpfsu1.cat.cbpf.br E–mail address paunov@cbpfsu1.cat.cbpf.br

Cite this paper

@inproceedings{Belich1997VertexOR, title={Vertex Operator Representation of the Soliton Tau Functions in the A ( 1 ) n Toda Models by Dressing Transformations}, author={H . Belich and G . Cuba and R . Paunov}, year={1997} }