2002/01/31 by I. Cabrera-Carnero, J. F. Gomes, J.F. Gomes +4 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Domain (mathematical analysis) #Dyon #Hierarchy #Homogeneous space #Integrable system #Nonlinear Waves and Solitons #Supersymmetry #Symmetry (geometry) #Symmetry breaking #hep-th #nlin.SI
paper · pdf · doi:10.1016/s0550-3213(02)00247-x
published as Nucl.Phys. B634 (2002) 433-482 · 48pages, latex, v2. typos in eqns. (1.7) and (3.20) corrected, small improvements in subsection 2.2, new reference added;v3. improvements in text of Sect. 1,2 and 6; new Sect 7 and new refs. added; version to appear in Nucl. Phys. B
arxiv created 2002/04/02 · openalex publication_date 2002/07/01 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We introduce and study new integrable models of An(1)-Non-Abelian Toda type which admit U(1)⊗ U(1) charged topological solitons. They correspond to the symmetry breaking SU(n+1) → SU(2)⊗ SU(2)⊗ 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) → SU(2)⊗ p⊗ U(1)n-p as well as IM with global SU(2) symmetries are discussed.