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arXiv · hep-th/0201047

Multicharged Dyonic Integrable Models

I. Cabrera-Carnero·J. F. Gomes·G. M. Sotkov·A. H. Zimerman
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Abstract

We introduce and study new integrable models of A_n^{(1)}-Non-Abelian Toda type which admit U(1)\otimes U(1) charged topological solitons. They correspond to the symmetry breaking SU(n+1) \to SU(2)\otimes SU(2)\otimes U(1)^{n-2} and are conjectured to describe charged dyonic domain walls of N=1 SU(n+1) SUSY gauge theory in large n limit. It is shown that this family of relativistic IMs corresponds to the first negative grade q={-1} member of a dyonic hierarchy of generalized cKP type. The explicit relation between the 1-soliton solutions (and the conserved charges as well) of the IMs of grades q=-1 and q=2 is found. The properties of the IMs corresponding to more general symmetry breaking SU(n+1) \to SU(2)^{\otimes p}\otimes U(1)^{n-p} as well as IM with global SU(2) symmetries are discussed.

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I. Cabrera-Carnero, J. F. Gomes, G. M. Sotkov, A. H. Zimerman. 2002-04-02. Multicharged Dyonic Integrable Models. https://doi.org/10.1016/s0550-3213(02)00247-x

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