On the Breathers of a_n⁽¹⁾ Affine Toda Field Theory

1994/09/30 by ULI HARDER, U. Harder, ALEXANDER A. ISKANDAR +3 · 1 citation
Mathematics · Physics and Astronomy · #Homotopy and Cohomology in Algebraic Topology #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1142/s0217751x95000917

published as Int.J.Mod.Phys. A10 (1995) 1879-1904 · 30pp. LaTeX one ps file, minor typographical corrections

arxiv created 1995/05/25 · arxiv updated 2009/11/30

Abstract

Explicit constructions of a_n⁽¹⁾ affine Toda field theory breather solutions are presented. Breathers arise either from two solitons of the same species or from solitons which are anti-species of each other. In the first case, breathers carry topological charges. These topological charges lie in the tensor product representation of the fundamental representations associated with the topological charges of the constituent solitons. In the second case, breathers have zero topological charge. The breather masses are, as expected, less than the sum of the masses of the constituent solitons.

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• Nonlinear integral equations for complex affine Toda models associated with simply laced Lie algebras

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