TOPOLOGICAL SOLITON MULTIPLETS IN (4+1)-DIMENSIONAL YMCS THEORY

We generalize our results1 on charged topological solitons (CTS's) 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) X U(1)N-2 subset-of SU(N) and SO(3) X U(1)N-3 subset-of SU(N) and the vital role of the SU(N) multiplet of topological currents are clarified. In the case of the first embedding, one obtains a C-N(2)-plet of CTS's. In the second, for N = 3, one obtains neutral solitons which, though (classically) spinless, have magnetic moments. For N greater-than-or-equal-to 4, after modding out the above-mentioned nonparticulate feature, one obtains C-N(3)-plets of CTS's.