Connection between the affine and conformal affine Toda models and their Hirota solution

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 o...

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Bibliographic Details
Published in:Physics letters. B 1993-01, Vol.298 (1), p.88-94
Main Authors: Constantinidis, C.P., Ferreira, L.A., Gomes, J.F., Zimerman, A.H.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Field theory
General theory of fields and particles
Physics
The physics of elementary particles and fields
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Summary: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 τ-functions are introduced and soliton solutions for the AT and CAT models associated to SL (r+1) and SP(r) are constructed.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(93)91712-V