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

DOI10.1142/S0217751X93000680zbMath0802.53024arXivhep-th/9206104OpenAlexW1981631334MaRDI QIDQ4301058

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Publication date: 11 December 1994

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Abstract: We 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 $SU(2)imesU(1{)}^{N-2}subsetSU(N)$ and $SO(3)imesU(1{)}^{N-3}subsetSU(N)$ 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 $Ngeq4$, after modding out the above mentioned non-particulate feature, one obtains $N^{}{C}_3$ plets of CTS.

Full work available at URL: https://arxiv.org/abs/hep-th/9206104

zbMATH Keywords

topological solitonsmultiplet structureYang-Mills-Chern-Simons theory

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05)

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