Connection between the Affine and Conformal Affine Toda Models and their Hirota's Solution

Details Connection between the Affine and Conformal Affine Toda Models and their Hirota's Solution Connection between the Affine and Conformal Affine Toda Models and their Hirota's Solution

1992-07-16

arxiv.org/abs/hep-th/9207061v1

Phys.Lett.B298:88-94,1993

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX

Scientific paper

10.1016/0370-2693(93)91712-V

It is shown that the Affine Toda models (AT) constitute a ``gauge fixed'' version of the Conformal Affine Toda model (CAT). This result enables one to map every solution of the AT models into an infinite number of solutions of the corresponding CAT models, each one associated to a point of the orbit of the conformal group. The Hirota's $\tau$-function are introduced and soliton solutions for the AT and CAT models associated to $\hat {SL}(r+1)$ and $\hat {SP}(r)$ are constructed.

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