The generic soliton of the $A_n$ affine Toda field theories

Details The generic soliton of the $A_n$ affine Toda field theories The generic soliton of the $A_n$ affine Toda field theories

1995-11-30

arxiv.org/abs/hep-th/9511225v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 5 .eps figures, compressed tar file, print out plot4.eps and plot5.eps separately

Scientific paper

In this note we show that the single soliton solutions known previously in the $1+1$ dimensional affine Toda field theories from a variety of different methods \cite{H1,MM,OTUa,OTUb}, are in fact not the most general single soliton solutions. We exhibit single soliton solutions with additional small parameters which reduce to the previously known solutions when these extra parameters are set to zero. The new solution has the same mass and topological charges as the standard solution when these parameters are set to zero. However we cannot yet completely rule out the possibility that other solutions with larger values of these extra parameters are non-singular, in the cases where the number of extra parameters is greater than one, and if so their topological charges would most likely be different.

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