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25 January 2025
 
  » arxiv » hep-th/9206104

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Topological Soliton Multiplets in 4+1 Dimensional YMCS Theory
C.S.Aulakh ; V.Soni ;
Date 16 Jul 1992
Journal Int.J.Mod.Phys. A8 (1993) 1653-1666
AbstractWe generalize our results${}^1$ on charged topological solitons (CTS) in $4+1$ dimensional $SU(3)$ Yang-Mills-Chern-Simons (YMCS) theory to $SU(N)$. The $SU(N)$ multiplet structure of two classes of solitons associated with the maximal embeddings $SU(2) imes U(1)^{N-2}subset SU(N)$ and $SO(3) imes U(1)^{N-3}subset SU(N)$ and the vital role of the $SU(N)$ multiplet of topological currents is clarified. In the case of the first embedding one obtains a $^{N}C_{2}-$plet of CTS. In the second, for $N = 3$, one obtains neutral solitons which, though (classically) spinless, have magnetic moments. For $N geq 4$, after modding out the above mentioned non-particulate feature, one obtains $^{N}C_{3}$ plets of CTS.
Source arXiv, hep-th/9206104
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